Differentiation Quizzes

Online Quiz about Chapter 2: Differentiation from Intermediate Mathematics Second Year. Click the link below to start with online differentiation quizzes.

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

MCQs Differentiation 1

Online MCQs about Intermediate Mathematics Part II. MCQs about Differentiation Chapter-2 First Mathematics.

Online MCQs about second year mathematics Chapter 2 Differentiation with answers

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

19. $1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\cdots$ is an expansion of

 
 
 
 

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

 
 
 
 

MCQs Differentiation

  • 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
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Functions and Limits Quizzes

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.

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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MCQs Functions and Limits 2

Online MCQs Functions and Limits from Mathematics Intermediate Part-II (2nd Book) with Answers.

Please go to MCQs Functions and Limits 2 to view the test

MCQs Functions and Limits

  • The term function was recognized by a German Mathematician
  • The volume of a sphere depends upon
  • The degree of $2x^4 – 3xy^3 + 2x^2 + 1$ is
  • If the degree of a polynomial function is 1 then it is called a _________ function.
  • Range of $sin\,\, x$ is
  • The base of natural logarithm is
  • If $x$ and $y$ are not separable then it is called ______ function.
  • $\lim\limits_{x \rightarrow 4} (2x-3)^3 =$
  • $\lim\limits_{x \rightarrow 0} \frac{(e^{x-1})}{x}=$
  • A relation in which every element in the domain has a unique image in the range is called
  • $\lim\limits_{x \rightarrow \infty} e^{-x} =$
  • $f(x)=|x|$ is function.
  • $f(x)=x^3$ is function
  • $\lim\limits_{x \rightarrow \infty} \frac{a}{x^p} = $___________, $p>0$
  • For continuous function $\lim\limits_{x \rightarrow a} f(x)=$ _________.
  • Log $x$ is not defined at $x=$.
  • Domain of $f(x) = \sqrt{x}$ is
  • Domain of $f^{-1}=$.
  • $\lim\limits_{x \rightarrow 0} \frac{Sin\, 7\theta}{\theta}=$_________, where $\theta$ is in radians.
  • $x=a\, cos\, \theta$, $y=b\, sin\, \theta$ are parametric equation of _________.
MCQs Functions and Limits

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