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JEE Exam  >  JEE Test  >  Mathematics (Maths) Main & Advanced  >  Test: Differentiation Of Exponential Functions - JEE MCQ

Differentiation Of Exponential Functions - Free MCQ Practice Test


MCQ Practice Test & Solutions: Test: Differentiation Of Exponential Functions (10 Questions)

You can prepare effectively for JEE Mathematics (Maths) for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Differentiation Of Exponential Functions ". These 10 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Differentiation Of Exponential Functions - Question 1
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The dervative of y 

Detailed Solution: Question 1

Test: Differentiation Of Exponential Functions - Question 2
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Differentiate   with respect to x.

Detailed Solution: Question 2

y = e^(-x)2.................(1)
Put u = (-x)2
du/dx = -2x dx
Differentiating eq(1) y = eu
dy/du = e^u
⇒ dy/dx = (dy/du) * (du/dx)
= (eu) * (-2x)
⇒ - 2xe(-x2)

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Test: Differentiation Of Exponential Functions - Question 3
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The derivatve of f(x) = 

Detailed Solution: Question 3

f(x) =   elog(logx3)
As log and e are inverse operations, therefore
f(x)= logx3
So derivative will be                         {Derivative of log x is 1/x and then applying chain rule}

f’(x)=1/x3. 3x2 = 3/x

Test: Differentiation Of Exponential Functions - Question 4
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The sum of Which series is denoted by e.

Test: Differentiation Of Exponential Functions - Question 5
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Derivatve of f(x)   is given by

Detailed Solution: Question 5

S

Test: Differentiation Of Exponential Functions - Question 6
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The differential equation of y = 

Test: Differentiation Of Exponential Functions - Question 7
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If f(x) = e2x-5, then f'(x) is​

Test: Differentiation Of Exponential Functions - Question 8
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Whta is the derivatve of y = log5 (x)

Detailed Solution: Question 8

y = log5 x = ln x/ln 5 → change of base 
= ln x/ln 5
dy/dx = 1/ln5⋅1/x → 1/ln5 is a constant, so we don't change it
= 1/(x ln 5)

Test: Differentiation Of Exponential Functions - Question 9
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For what values of x is elogx = x

Detailed Solution: Question 9

The correct option is A
Set of all positive real numbers

Test: Differentiation Of Exponential Functions - Question 10
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If f(x) = ex, then the value of f'(-3) is

Detailed Solution: Question 10

As, f (x) = ex
Similarly, f (-3) = e-3

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About this JEE Practice Test

This test contains 10 MCQs on Differentiation Of Exponential Functions with detailed solutions for each question. It is part of the Mathematics (Maths) for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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