Mathematics Exam > Mathematics Videos > Mathematics for IIT JAM, GATE, CSIR NET, UGC NET > Taylor's Theorem - 1
Taylor's Theorem - 1 Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
|
556 videos|198 docs
|
FAQs on Taylor's Theorem - 1 Video Lecture - Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
| 1. What is Taylor's theorem? |  |
Ans. Taylor's theorem is a mathematical theorem in calculus that gives an approximation of a function using its derivatives at a single point. It states that any smooth function can be approximated by a polynomial function near a given point.
| 2. How is Taylor's theorem used in calculus? | |
Ans. Taylor's theorem is used in calculus to approximate the value of a function at a particular point using information about the function's derivatives at that point. It allows us to estimate the behavior of a function by representing it as a polynomial.
| 3. What is the formula for Taylor's theorem? | |
Ans. The formula for Taylor's theorem is:
f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...
where f(x) is the function we want to approximate, a is the point around which we are approximating, and f'(a), f''(a), f'''(a), etc., are the derivatives of the function evaluated at the point a.
| 4. What is the significance of Taylor's theorem in calculus? | |
Ans. Taylor's theorem is significant in calculus because it provides a way to approximate complex functions using simpler polynomial functions. It allows us to study the behavior of functions and make predictions about their values without having to rely on the original, often more complicated, function.
| 5. Can Taylor's theorem be used to find the value of any function at any point? | |
Ans. Taylor's theorem can be used to find the value of a function at any point, but the accuracy of the approximation depends on the number of terms included in the polynomial. The more terms we include, the closer the approximation will be to the actual value of the function. However, calculating higher-order derivatives can be computationally complex, so in practice, Taylor approximations are often used with a limited number of terms.
Related Exams
About this Video
|
Nov 22, 2024 Last updated |
Video Description: Taylor's Theorem - 1 for Mathematics 2024 is part of Mathematics for IIT JAM, GATE, CSIR NET, UGC NET preparation.
The notes and questions for Taylor's Theorem - 1 have been prepared according to the Mathematics exam syllabus.
Information about Taylor's Theorem - 1 covers all important topics for Mathematics 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Taylor's Theorem - 1.
Introduction of Taylor's Theorem - 1 in English is available as part of our Mathematics for IIT JAM, GATE, CSIR NET, UGC NET for Mathematics & Taylor's Theorem - 1 in
Hindi for Mathematics for IIT JAM, GATE, CSIR NET, UGC NET course. Download more important topics related with notes, lectures and mock test series for
Mathematics Exam by signing up for free.
Description
Video Lecture & Questions for Taylor's Theorem - 1 Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Mathematics for IIT JAM, GATE, CSIR NET, UGC NET.
Information about Taylor's Theorem - 1
Here you can find the meaning of Taylor's Theorem - 1 defined & explained in the simplest way possible.
Besides explaining types of Taylor's Theorem - 1 theory, EduRev gives you an ample number of questions to practice Taylor's Theorem - 1 tests,
examples and also practice Mathematics tests.
|
556 videos|198 docs
|
|
Explore Courses for Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Sample Paper
,Exam
,Free
,Taylor's Theorem - 1 Video Lecture | Mathematics for IIT JAM
,UGC NET
,past year papers
,Summary
,UGC NET
,study material
,Taylor's Theorem - 1 Video Lecture | Mathematics for IIT JAM
,Taylor's Theorem - 1 Video Lecture | Mathematics for IIT JAM
,mock tests for examination
,UGC NET
,GATE
,CSIR NET
,MCQs
,Viva Questions
,practice quizzes
,Objective type Questions
,CSIR NET
,Previous Year Questions with Solutions
,Extra Questions
,video lectures
,shortcuts and tricks
,GATE
,ppt
,Semester Notes
,GATE
,Important questions
,CSIR NET
;
Study Taylor's Theorem - 1 on the App
Students of Mathematics can study Taylor's Theorem - 1 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Taylor's Theorem - 1,
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 Taylor's Theorem - 1 is prepared as per the latest Mathematics 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