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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.
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QUESTION: 1

Solution:

d/dx(1/x^{2} ) = -2 (x ^{-2-1}) = -2* (x^{-3}) = -2/x^{3}

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/x^{3}

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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