Differentiation Quizzes 2024

Online Quiz about Chapter 2: Differentiation from Intermediate Mathematics Second Year. Each quiz contains 20 multiple-choice questions from the Differentiation Chapter of First-Year Mathematics. Click the link below to start with the online differentiation quiz.

Differentiation Quizzes

MCQs Differentiation 1MCQs Differentiation 1MCQs Differentiation 1
MCQs Differentiation 1MCQs Differentiation 1MCQs Differentiation 1
Online Differentiation Quizzes with Answers.

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MCQs Differentiation 1

Online MCQs about Intermediate Mathematics Part II. There are 20 multiple-choice questions from the First Year Mathematics of Differentiation Chapter. Let us start with MCQs about Differentiation Chapter-2 First Year Mathematics.

Online MCQs about second year mathematics Chapter 2 Differentiation with answers

1. The derivative of $sin\, x^0$ w.r. to $x$

 
 
 
 

2. If $x=a\,cos^2 \theta$, $y=b\,sin^2\theta$ then $\frac{dy}{dx}$ is

 
 
 
 

3. $y=Cos(bx+c)$ then $\frac{d^4}{dx^4}cos(bx+c)$

 
 
 
 

4. $\frac{d^4}{dx^4}(x^8+12)$ is

 
 
 
 

5. If $y=f(x)$ then $\frac{dy}{dx}$ is

 
 
 
 

6. Two numbers such as their difference is 50 and product is minimum are

 
 
 
 

7. A function $f(x)$ has a minimum value at $x=a$ if

 
 
 
 

8. The derivative of $cos\left(\frac{ax}{c}\right)$ is

 
 
 
 

9. If $f'(x)=0$ at $x=c$ then $f(c)$ is

 
 
 
 

10. $\frac{d}{dx} [sin \, x\, cos\, x]$

 
 
 
 

11. $\frac{d}{dx} \frac{[sin \frac{\pi}{2}]}{sec\, x}$

 
 
 
 

12. $1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\cdots$ is an expansion of

 
 
 
 

13. The equation of tangent line to the curve $x^2+y^2=c^2$ at $(a,b)$

 
 
 
 

14. $\frac{d}{dx} [cos\, ax+ cos\, bx + cos\,cx]$

 
 
 
 

15. If $y^3=x^2$ then $\frac{dy}{dx}$ is

 
 
 
 

16. The derivative of $x^2 + y^2 = 0$ is

 
 
 
 

17. $\frac{d}{dx} [x^{x2}]$ is

 
 
 
 

18. $1-\frac{t^2}{2!} + \frac{t^4}{4!} – \frac{t^6}{6!} + \cdots $ is an expansion of

 
 
 
 

19. $\frac{d}{dx} (a^{b+c})$

 
 
 
 

20. If $y=x^7+x^6+x^5$ then $d^8(y)=$

 
 
 
 

MCQs Differentiation with Answers

  • A function $f(x)$ has a minimum value at $x=a$ if
  • If $y=f(x)$ then $\frac{dy}{dx}$ is
  • The derivative of $cos\left(\frac{ax}{c}\right)$ is
  • $\frac{d}{dx} \frac{[sin \frac{\pi}{2}]}{sec\, x}$
  • If $f'(x)=0$ at $x=c$ then $f(c)$ is
  • $\frac{d}{dx} [sin \, x\, cos\, x]$
  • The derivative of $x^2 + y^2 = 0$ is
  • If $x=a\,cos^2 \theta$, $y=b\,sin^2\theta$ then $\frac{dy}{dx}$ is
  • If $y=x^7+x^6+x^5$ then $d^8(y)=$
  • $\frac{d}{dx} [x^{x2}]$ is
  • $\frac{d}{dx} (a^{b+c})$
  • $y=Cos(bx+c)$ then $\frac{d^4}{dx^4}cos(bx+c)$
  • If $y^3=x^2$ then $\frac{dy}{dx}$ is
  • $\frac{d^4}{dx^4}(x^8+12)$ is
  • $\frac{d}{dx} [cos\, ax+ cos\, bx + cos\,cx]$
  • The equation of tangent line to the curve $x^2+y^2=c^2$ at $(a,b)$
  • Two numbers such as their difference is 50 and product is minimum are
  • The derivative of $sin\, x^0$ w.r. to $x$
  • $1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\cdots$ is an expansion of
  • $1-\frac{t^2}{2!} + \frac{t^4}{4!} – \frac{t^6}{6!} + \cdots $ is an expansion of
MCQs Differentiation

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Functions and Limits Quizzes 2024

This post is about online MCQs about Functions and Limits Quizzes test with answers.

The chapter includes Introduction to Functions and Limits, Types of Functions, Composition of Function and Inverse of a Function, Limit of a Function and Theorems on Limits, Limits of Important Functions, Continous and Discontinuous Functions, and Graphs of Functions and Limits.

Functions and Limits Quizzes

MCQs Functions and Limits 6MCQs Functions and Limits 5MCQs Functions and Limits 4
MCQs Functions and Limits 3MCQs Functions and Limits 2MCQs Functions and Limits 1
Functions and Limits Quizzes

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