JEE Exam > JEE Notes > Mathematics (Maths) for JEE Main & Advanced > NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives
NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 Miscellaneous Exercise Page 2 Miscellaneous Exercise Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 1 0 lim 1 1 1 1 1 Let . Accordingly, f x+h By first principle, ' lim h h ii f x x x x x h f x h f x fx h ? ? ? ? ? ? ? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? 0 0 0 1 1 1 lim 1 1 1 lim 1 lim h h h h x h x h x h x x x h h x x h ? ? ? ? ? ? ? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ? ?? ?? ? ? ? ? ?? ? ?? ? ? ? ? ? ? 0 0 0 2 1 lim 1 lim 1 lim 11 . h h h x x h h x x h h h x x h x x h xx x ? ? ? ?? ? ? ? ? ?? ? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 (iii) Let f(x) = sin (x + 1). Accordingly, f x+h sin 1 By first principle, ' lim 1 lim sin 1 sin 1 1 1 1 1 1 lim 2cos sin 22 h h h xh f x h f x fx h x h x h x h x x h x h ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 1 2 2 lim 2cos sin 22 h x h h h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 sin 22 2 lim cos . 2 2 h h xh h ? ?? ?? ?? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? Page 3 Miscellaneous Exercise Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 1 0 lim 1 1 1 1 1 Let . Accordingly, f x+h By first principle, ' lim h h ii f x x x x x h f x h f x fx h ? ? ? ? ? ? ? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? 0 0 0 1 1 1 lim 1 1 1 lim 1 lim h h h h x h x h x h x x x h h x x h ? ? ? ? ? ? ? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ? ?? ?? ? ? ? ? ?? ? ?? ? ? ? ? ? ? 0 0 0 2 1 lim 1 lim 1 lim 11 . h h h x x h h x x h h h x x h x x h xx x ? ? ? ?? ? ? ? ? ?? ? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 (iii) Let f(x) = sin (x + 1). Accordingly, f x+h sin 1 By first principle, ' lim 1 lim sin 1 sin 1 1 1 1 1 1 lim 2cos sin 22 h h h xh f x h f x fx h x h x h x h x x h x h ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 1 2 2 lim 2cos sin 22 h x h h h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 sin 22 2 lim cos . 2 2 h h xh h ? ?? ?? ?? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 0 0 2 sin 1 2 2 1 2 lim cos .lim [ 0 0] 22 2 h h h x h h As h h hh ? ? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 2 0 2 sin cos .1 lim 1 2 cos 1 (iv) Let f x =cos x- . Accordingly, f x+h cos 88 By first principle, ' lim h h xx x x xh f x h f x fx h ?? ? ? ?? ? ? ? ? ?? ?? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? 0 0 1 lim cos cos 88 1 88 88 lim 2sin sin 22 h h x h x h x h x x h x h ?? ?? ?? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 0 0 2 1 4 lim 2sin sin 22 sin 2 2 4 lim sin 2 2 h h xh h h h xh h ? ? ? ? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 00 sin 2 h 2 4 lim sin .lim As h 0 0 22 2 20 4 sin .1 2 hh h xh h x ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? sin 8 x ? ?? ? ? ? ?? ?? Page 4 Miscellaneous Exercise Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 1 0 lim 1 1 1 1 1 Let . Accordingly, f x+h By first principle, ' lim h h ii f x x x x x h f x h f x fx h ? ? ? ? ? ? ? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? 0 0 0 1 1 1 lim 1 1 1 lim 1 lim h h h h x h x h x h x x x h h x x h ? ? ? ? ? ? ? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ? ?? ?? ? ? ? ? ?? ? ?? ? ? ? ? ? ? 0 0 0 2 1 lim 1 lim 1 lim 11 . h h h x x h h x x h h h x x h x x h xx x ? ? ? ?? ? ? ? ? ?? ? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 (iii) Let f(x) = sin (x + 1). Accordingly, f x+h sin 1 By first principle, ' lim 1 lim sin 1 sin 1 1 1 1 1 1 lim 2cos sin 22 h h h xh f x h f x fx h x h x h x h x x h x h ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 1 2 2 lim 2cos sin 22 h x h h h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 sin 22 2 lim cos . 2 2 h h xh h ? ?? ?? ?? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 0 0 2 sin 1 2 2 1 2 lim cos .lim [ 0 0] 22 2 h h h x h h As h h hh ? ? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 2 0 2 sin cos .1 lim 1 2 cos 1 (iv) Let f x =cos x- . Accordingly, f x+h cos 88 By first principle, ' lim h h xx x x xh f x h f x fx h ?? ? ? ?? ? ? ? ? ?? ?? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? 0 0 1 lim cos cos 88 1 88 88 lim 2sin sin 22 h h x h x h x h x x h x h ?? ?? ?? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 0 0 2 1 4 lim 2sin sin 22 sin 2 2 4 lim sin 2 2 h h xh h h h xh h ? ? ? ? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 00 sin 2 h 2 4 lim sin .lim As h 0 0 22 2 20 4 sin .1 2 hh h xh h x ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? sin 8 x ? ?? ? ? ? ?? ?? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ Question 2: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): (x + a) Solution 2: Let f(x) = x + a. Accordingly, f(x + h) = x + h + a By first principle, ? ? ? ? ? ? ? ? 0 0 0 0 ' lim lim lim lim 1 1 h h h h f x h f x fx h x h a x a h h h ? ? ? ? ?? ? ? ? ? ? ? ?? ? ?? ?? ? ? Question 3: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non- zero constants and m and n are integers): ? ? r px q s x ?? ?? ?? ?? Solution 3: Let f(x) = ? ? r px q s x ?? ?? ?? ?? By Leibnitz product rule, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 2 2 ' rr f x px q s s px q xx r px q rx s s p x r px q rx s p x rr px q s p xx ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Page 5 Miscellaneous Exercise Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 1 0 lim 1 1 1 1 1 Let . Accordingly, f x+h By first principle, ' lim h h ii f x x x x x h f x h f x fx h ? ? ? ? ? ? ? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? 0 0 0 1 1 1 lim 1 1 1 lim 1 lim h h h h x h x h x h x x x h h x x h ? ? ? ? ? ? ? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ? ?? ?? ? ? ? ? ?? ? ?? ? ? ? ? ? ? 0 0 0 2 1 lim 1 lim 1 lim 11 . h h h x x h h x x h h h x x h x x h xx x ? ? ? ?? ? ? ? ? ?? ? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 (iii) Let f(x) = sin (x + 1). Accordingly, f x+h sin 1 By first principle, ' lim 1 lim sin 1 sin 1 1 1 1 1 1 lim 2cos sin 22 h h h xh f x h f x fx h x h x h x h x x h x h ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 1 2 2 lim 2cos sin 22 h x h h h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? 0 sin 22 2 lim cos . 2 2 h h xh h ? ?? ?? ?? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 0 0 2 sin 1 2 2 1 2 lim cos .lim [ 0 0] 22 2 h h h x h h As h h hh ? ? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? 0 0 2 0 2 sin cos .1 lim 1 2 cos 1 (iv) Let f x =cos x- . Accordingly, f x+h cos 88 By first principle, ' lim h h xx x x xh f x h f x fx h ?? ? ? ?? ? ? ? ? ?? ?? ?? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? 0 0 1 lim cos cos 88 1 88 88 lim 2sin sin 22 h h x h x h x h x x h x h ?? ?? ?? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 0 0 2 1 4 lim 2sin sin 22 sin 2 2 4 lim sin 2 2 h h xh h h h xh h ? ? ? ? ?? ?? ?? ?? ?? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? 00 sin 2 h 2 4 lim sin .lim As h 0 0 22 2 20 4 sin .1 2 hh h xh h x ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ? ? ? ? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? sin 8 x ? ?? ? ? ? ?? ?? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ Question 2: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): (x + a) Solution 2: Let f(x) = x + a. Accordingly, f(x + h) = x + h + a By first principle, ? ? ? ? ? ? ? ? 0 0 0 0 ' lim lim lim lim 1 1 h h h h f x h f x fx h x h a x a h h h ? ? ? ? ?? ? ? ? ? ? ? ?? ? ?? ?? ? ? Question 3: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non- zero constants and m and n are integers): ? ? r px q s x ?? ?? ?? ?? Solution 3: Let f(x) = ? ? r px q s x ?? ?? ?? ?? By Leibnitz product rule, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 2 2 ' rr f x px q s s px q xx r px q rx s s p x r px q rx s p x rr px q s p xx ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ?? ?? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Class XI Chapter 13 – Limits and Derivatives Maths ______________________________________________________________________________ 2 2 pr qr pr ps x x x qr ps x ? ? ? ? ? ?? Question 4: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed nonzero constants and m and n are integers): (ax + b) (cx + d) 2 Solution 4: Let ? ? ? ? ' f x ax b ?? ? ? 2 cx d ? By Leibnitz product rule, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 22 2 2 2 2 2 2 2 2 2 2 2 ' 2 2 22 2 dd f x ax b cx d cx d ax b dx dx dd ax b c x cdx d cx d ax b dx dx d d d d d ax b c x cdx d cx d ax b dx dx dx dx dx ax b c x cd cx d a c ax b cx d a cx d ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Question 5: Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non zero constants and m and n are integers): ax b cx d ? ? Solution 5: Let f(x) = ax b cx d ? ? By quotient rule, ? ? ? ? ? ? ? ? ? ? ? ? 2 ' dd cx d ax b ax b cx d dx dx fx cx d ? ? ? ? ? ? ?Read More
|
209 videos|443 docs|143 tests
|
FAQs on NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
| 1. What are limits and derivatives? |  |
Ans. Limits and derivatives are fundamental concepts in calculus. A limit is a value that a function approaches as its input approaches a certain value or infinity. Derivatives, on the other hand, measure the rate at which a function changes with respect to its input.
| 2. How do you find the limit of a function? | |
Ans. To find the limit of a function, you can evaluate the function at values approaching the desired input value. If the values approach the same value as the input value gets closer and closer, that value is the limit. Alternatively, you can use algebraic techniques, such as factoring or rationalizing the expression, to simplify the function and determine the limit.
| 3. What is the significance of limits and derivatives in real-life applications? | |
Ans. Limits and derivatives have numerous real-life applications. In physics, derivatives are used to calculate velocity and acceleration. In economics, derivatives are used to analyze rates of change in variables like demand and supply. In engineering, derivatives are used to determine the slope of a curve or the rate of change in a system. Limits are used to analyze the behavior of functions and determine properties such as continuity or the existence of asymptotes.
| 4. Can you explain the concept of differentiability in relation to derivatives? | |
Ans. Differentiability is a property of functions that determine if they have a derivative at a specific point. A function is said to be differentiable at a point if the derivative exists at that point. This means that the function has a well-defined slope at that point. If a function is not differentiable at a point, it means that the slope of the function is undefined or discontinuous at that point.
| 5. How do you calculate derivatives using the limit definition? | |
Ans. The limit definition of a derivative involves taking the limit of the difference quotient as the change in the input approaches zero. The difference quotient is the change in the function divided by the change in the input. By evaluating this limit, you can find the derivative of a function at a specific point. However, in practice, more efficient techniques such as the power rule, product rule, or chain rule are often used to calculate derivatives.
Related Exams
About this Document
|
7.6K Views |
|
4.70/5 Rating |
|
Nov 22, 2024 Last updated |
Document Description: NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
The notes and questions for NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives have been prepared according to the JEE exam syllabus. Information about NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives covers topics
like and NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives.
Introduction of NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives in English is available as part of our Mathematics (Maths) for JEE Main & Advanced
for JEE & NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives in Hindi for Mathematics (Maths) for JEE Main & Advanced course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
Description
Full syllabus notes, lecture & questions for NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives - JEE | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) for JEE Main & Advanced | Best notes, free PDF download
Information about NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives
In this doc you can find the meaning of NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives defined & explained in the simplest way possible. Besides explaining types of
NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives theory, EduRev gives you an ample number of questions to practice NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives tests, examples and also practice JEE
tests
|
209 videos|443 docs|143 tests
|
Download as PDF
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
,Previous Year Questions with Solutions
,NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
,Semester Notes
,Sample Paper
,study material
,Exam
,practice quizzes
,NCERT Solutions Class 11 Maths Chapter 12 - Limits and Derivatives
,Important questions
,shortcuts and tricks
,MCQs
,Objective type Questions
,ppt
,Free
,video lectures
,Extra Questions
,past year papers
,Viva Questions
,mock tests for examination
,Summary
;
Additional Information about NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives for JEE Preparation
NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives Free PDF Download
The NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives now and kickstart your journey towards success in the JEE exam.
Importance of NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives
The importance of NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives Notes
NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives Notes on EduRev are your ultimate resource for success.
NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives JEE Questions
The "NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives on the App
Students of JEE can study NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of NCERT Solutions Miscellaneous Exercise 1: Limits and Derivatives is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup