Test: Meaning Of Derivatives


10 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Meaning Of Derivatives


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This mock test of Test: Meaning Of Derivatives for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: Meaning Of Derivatives (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Meaning Of Derivatives quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Meaning Of Derivatives exercise for a better result in the exam. You can find other Test: Meaning Of Derivatives extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

  

Solution:

d/dx(1/x2 ) = -2 (x -2-1) = -2* (x-3) = -2/x3

QUESTION: 2

The derivative of f(x) = 99x at x = 100 is:​

Solution:

QUESTION: 3

Find the derivative of 

Solution:

We’ll first need to divide the function out and simplify before we take the derivative. Here is the rewritten function.

The derivative is, 

QUESTION: 4

Derivative of sum of two functions is …… of the derivatives of the functions.​

Solution: In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist. This is a part of the linearity of differentiation.
QUESTION: 5

The derivative of the constant function f(x) = a for a fixed real number ‘a’ is:​

Solution:

Derivative of any constant function is 0.

QUESTION: 6

Derivative of sum of two functions is sum of the derivatives of the functions. If , f and g be two functions such that their derivatives are defined in ______.​

Solution:

QUESTION: 7

The derivative of f(x) = 1/x3

Solution:
QUESTION: 8

Derivative of quotient of two functions f(x) and g(x); g(x) ≠ 0 is given by  is given by 

Solution:

This is a formula of question.

 

QUESTION: 9

If f is a real valued function and c is a point in its domain, then  is ;

Solution:

This is a formula for finding derivative or differentiation which is represented by
but here at the place of x , c is written So this is equal to f'(c)

QUESTION: 10

The derivative at x = 2/3 of the function f(x) = 3x is:​

Solution:

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