Commerce Exam  >  Commerce Tests  >  Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Commerce MCQ

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Commerce MCQ


Test Description

10 Questions MCQ Test - Test: Limits and Derivatives (Derivatives)- Case Based Type Questions

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions for Commerce 2024 is part of Commerce preparation. The Test: Limits and Derivatives (Derivatives)- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Limits and Derivatives (Derivatives)- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions below.
Solutions of Test: Limits and Derivatives (Derivatives)- Case Based Type Questions questions in English are available as part of our course for Commerce & Test: Limits and Derivatives (Derivatives)- Case Based Type Questions solutions in Hindi for Commerce course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Limits and Derivatives (Derivatives)- Case Based Type Questions | 10 questions in 20 minutes | Mock test for Commerce preparation | Free important questions MCQ to study for Commerce Exam | Download free PDF with solutions
Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 1

The derivative of y with respect to x is the change in y with respect to a change in x.

The derivative of f(x) at x0 is given by

Based on the above data, answer the following question.

Q. Derivative off tan x w.r.t. x is ............

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 1
Let f(x) = tan x = sin x / cos x

=

= sec2 x

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 2

The derivative of y with respect to x is the change in y with respect to a change in x.

The derivative of f(x) at x0 is given by

Based on the above data, answer the following question.

Q. y = x / tanx , dy / dx = ........

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 2

Let

dy/dx =

=

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 3

The derivative of y with respect to x is the change in y with respect to a change in x.

The derivative of f(x) at x0 is given by

Based on the above data, answer the following question.

Q. Derivative of sin x with respect to x is ..........

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 3
Derivative of sin x with respect to x is cos x.
Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 4

The derivative of y with respect to x is the change in y with respect to a change in x.

The derivative of f(x) at x0 is given by

Based on the above data, answer the following question.

Q. Derivative of cos x with respect to x is ...............

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 4

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 5

The derivative of y with respect to x is the change in y with respect to a change in x.

The derivative of f(x) at x0 is given by

Based on the above data, answer the following question.

Q. If f(x) = x100 – x80, f '(1) is ...........

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 5

f(x) = x100 – x50 f'(x)

= 100x99 – 50x49 f'(1)

= 100 – 50 = 50

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 6

Indeterminate forms of limits

On direct evaluation, if a limit takes the form 0 /0,∞ /∞,0 ×∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.

Based on the above data, answer the following question.

Q.

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 6

=

=

= 3

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 7

Indeterminate forms of limits

On direct evaluation, if a limit takes the form 0 /0,∞ /∞,0 ×∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.

Based on the above data, answer the following question.

Q.

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 7

=

=

= –2 × 1 × 1 × 6 = –12

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 8

Indeterminate forms of limits

On direct evaluation, if a limit takes the form 0 /0,∞ /∞,0 ×∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.

Based on the above data, answer the following question.

Q.

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 8

=

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 9

Indeterminate forms of limits

On direct evaluation, if a limit takes the form 0 /0,∞ /∞,0 ×∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.

Based on the above data, answer the following question.

Q.

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 9

=

= log 8 – log 2

= log 8/2

= log 4

Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 10

Indeterminate forms of limits

On direct evaluation, if a limit takes the form 0 /0,∞ /∞,0 ×∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.

Based on the above data, answer the following question.

Q.

Detailed Solution for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions - Question 10

= 6 × 25 = 192

Information about Test: Limits and Derivatives (Derivatives)- Case Based Type Questions Page
In this test you can find the Exam questions for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Limits and Derivatives (Derivatives)- Case Based Type Questions, EduRev gives you an ample number of Online tests for practice

Top Courses for Commerce

Download as PDF

Top Courses for Commerce