Derivatives Of Exponential And Logarithmic Functions Quiz Questions

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Alfredhook3
A
Alfredhook3
Community Contributor
Quizzes Created: 2940 | Total Attempts: 2,627,736
Questions: 10 | Attempts: 1,343
SettingsSettingsSettings
Please wait...
Create your own Quiz
Derivatives Of Exponential And Logarithmic Functions Quiz Questions - Quiz

Take up this quiz to review your knowledge of derivatives of exponential and logarithmic functions by choosing suitable answers to the questions asked here. The logarithmic function is the inverse of the exponential function. If you think your calculus is really strong and can score well on the test, why don't you clear out your doubt now? Also, the quiz will check your differentiating skills. Shall we start the quiz then? Give your best!

Questions and Answers
  • 1. 

    Differentiate y= 3e-4x

    • A.

      Dy/dx = -3e-3x

    • B.

      Dy/dx= -12e4x

    • C.

      Dy/dx= -12e-4x

    • D.

      Dy/dx = 34e4x

    Correct Answer
    C. Dy/dx= -12e-4x
    Explanation
    The given function is y = 3e^(-4x). To differentiate this function with respect to x, we use the chain rule. The derivative of e^(-4x) is -4e^(-4x) and the derivative of 3 is 0. Therefore, the derivative of y with respect to x is dy/dx = 0 * e^(-4x) + 3 * (-4e^(-4x)) = -12e^(-4x).

    Rate this question:

  • 2. 

    Is differentiation of e5x-1 is 5e5x-1 true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The differentiation of e^5x-1 is 5e^5x-1. This can be derived using the chain rule of differentiation. The derivative of e^u is e^u times the derivative of u, which in this case is 5. Therefore, the correct answer is true.

    Rate this question:

  • 3. 

    Differentiate y= 2e5x+2

    • A.

      Dy/dx= -10e5x

    • B.

      Dy/dx= 10e5x+2

    • C.

      Dy/dx= 2e5x

    • D.

      Dy/dx= e5x+2

    Correct Answer
    B. Dy/dx= 10e5x+2
    Explanation
    The correct answer is dy/dx= 10e5x+2. This is the correct answer because when differentiating y= 2e5x+2 with respect to x, the derivative of e5x is 5e5x and the derivative of 2 is 0. Therefore, the derivative of y with respect to x is 5e5x. Additionally, the constant term 2 remains unchanged. So the final answer is dy/dx= 10e5x+2.

    Rate this question:

  • 4. 

    Differentiate y= e2-3x

    • A.

      Dy/dx= 3e

    • B.

      Dy/dx= 3e2-3x

    • C.

      Dy/dx= 2e2-3x

    • D.

      Dy/dx= -3e2-3x

    Correct Answer
    D. Dy/dx= -3e2-3x
    Explanation
    The correct answer is dy/dx= -3e^2-3x. To differentiate y = e^2-3x, we need to apply the chain rule. The derivative of e^2-3x with respect to x is -3e^2-3x.

    Rate this question:

  • 5. 

    Is differentiation of e1+5x is -5e1+5x true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The statement "Differentiation of e1+5x is -5e1+5x" is false. When differentiating e1+5x, the derivative of e1 is 0 since e1 is a constant. The derivative of 5x is simply 5. Therefore, the correct answer is false.

    Rate this question:

  • 6. 

    Differentiate y= ln(7x+2)

    • A.

      Dy/dx = 7 /(7x+2)

    • B.

      Dy/dx= 2/(7x+2)

    • C.

      Dy/dx= 7(7x+2)

    • D.

      Dy/dx= 7x+2

    Correct Answer
    A. Dy/dx = 7 /(7x+2)
    Explanation
    The correct answer is dy/dx = 7 /(7x+2). This is the correct differentiation of the given function y= ln(7x+2). The derivative of ln(u) with respect to x is du/dx divided by u. In this case, u = 7x+2, so du/dx = 7. Therefore, the derivative of ln(7x+2) with respect to x is 7/(7x+2).

    Rate this question:

  • 7. 

    Is Differentiation of ln(5x) is 1/x true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The differentiation of ln(5x) can be found using the chain rule. The derivative of ln(u) is 1/u multiplied by the derivative of u with respect to x. In this case, u = 5x. So, the derivative of ln(5x) is 1/(5x) multiplied by the derivative of 5x, which is 5. Simplifying further, we get 1/x. Therefore, the statement "Differentiation of ln(5x) is 1/x" is true.

    Rate this question:

  • 8. 

    Differentiate y =ln(x-8)

    • A.

      Dy/dx= 1

    • B.

      Dy/dx = 1/(x-8)

    • C.

      Dy/dx= 8/(x-8)

    • D.

      Dy/dx= -1/(x-8)

    Correct Answer
    B. Dy/dx = 1/(x-8)
    Explanation
    The derivative of ln(x-8) with respect to x is 1/(x-8). This can be found using the chain rule, where the derivative of ln(u) with respect to u is 1/u, and the derivative of (x-8) with respect to x is 1. Therefore, the derivative of ln(x-8) is 1/(x-8).

    Rate this question:

  • 9. 

    Is differentiation of ln(4x2-1) is 4x/(4x2-1) true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The differentiation of ln(4x^2-1) is not equal to 4x/(4x^2-1). The correct answer is false. To differentiate ln(4x^2-1), we need to apply the chain rule. The derivative of ln(u) is 1/u multiplied by the derivative of u with respect to x. Therefore, the correct differentiation of ln(4x^2-1) is (8x)/(4x^2-1).

    Rate this question:

  • 10. 

    Differentiate y= ln(2+3x2)

    • A.

      Dy/dx= 6x

    • B.

      Dy/dx= 3x/(2+3x)

    • C.

      Dy/dx= 2/(2+3x2)

    • D.

      Dy/dx= 6x/(2+3x2)

    Correct Answer
    D. Dy/dx= 6x/(2+3x2)
    Explanation
    The given problem asks us to differentiate the function y = ln(2 + 3x^2). To do this, we can use the chain rule. Taking the derivative of the function with respect to x, we get dy/dx = (2(3x))/(2 + 3x^2). Simplifying further, we have dy/dx = 6x/(2 + 3x^2). So, the correct answer is dy/dx = 6x/(2 + 3x^2).

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Apr 14, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 07, 2022
    Quiz Created by
    Alfredhook3

Related Topics

Recent Quizzes

Calculus Constants: Kronecker Delta Quiz Calculus Constants: Kronecker Delta Quiz
Integration Methods Quiz: Calculus Mathematics Integration Methods Quiz: Calculus Mathematics
AP Calculus Test: Limits and Continuity! AP Calculus Test: Limits and Continuity!
AP Calculus Integrals Practice Test! AP Calculus Integrals Practice Test!
AP Calculus: The Fundamental Theorem of Calculus! Practice Test! AP Calculus: The Fundamental Theorem of Calculus! Practice Test!
AP Calculus Quiz on Formulas! AP Calculus Quiz on Formulas!
The Ultimate AP Calculus Quiz! The Ultimate AP Calculus Quiz!
AP Calculus Test For High School! AP Calculus Test For High School!
Are You Ready For An AP Calculus Practice Exam? Are You Ready For An AP Calculus Practice Exam?

Featured Quizzes

Where Should I Live? Quiz - Find Your Perfect Place Where Should I Live? Quiz - Find Your Perfect Place
Fashion Style Quiz: What Clothing Style Suits Me? Fashion Style Quiz: What Clothing Style Suits Me?
Can You Guess These Asian's Nationality? Quiz Can You Guess These Asian's Nationality? Quiz
What Celebrity Do I Look Like? Quiz: Find Your Famous Match What Celebrity Do I Look Like? Quiz: Find Your Famous Match
What is my Korean name quiz What is my Korean name quiz
Take the Does He Like Me Quiz to Decode His True Feelings Take the Does He Like Me Quiz to Decode His True Feelings

Popular Topics

+ Show more
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.