MCQs Differentiation 1

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

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

R Programming Language

Functions and Limits Quizzes

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.

R Programming Language

MCQs in Statistics

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 _________.

SPSS Data Analysis

R and Data Analysis