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Differentiation Mcqs FSc Math 2nd Year Chapter 02

Differentiation Mcqs FSc Math 2nd Year Chapter 02 consist of mcqs with their answers. Differentiation mcqs blog also consist possible explanations for fsc students to understand the concepts of math.

Q.1 $\lim_{\delta x \rightarrow 0} \frac{f(a+\delta x)-f(a)}{\delta x}$ =

(a) f ‘ (x)

(b) f ‘ (a)

(c) f ‘ (2)

(d) f ‘ ( 0)

Check Answer

b

Q.2 $\lim_{\delta x \rightarrow 0} \frac{f(x+\delta x)-f(x)}{\delta x}$ =

(a) 0

(b) f ‘ (x)

(c) f ‘ (2)

(d) Not defined

Check Answer

b

Q.3 $\lim_{\delta x \rightarrow 0} \frac{f(0+\delta x)-f(0)}{\delta x}$ =

(a) f ‘ (x)

(b) f ‘ (a)

(c) f ‘ (2)

(d) f ‘ ( 0)

Check Answer

d

Q.4 $\lim_{\delta x \rightarrow 0} \frac{f(2+\delta x)-f(2)}{\delta x}$ =

(a) f ‘ (x)

(b) f ‘ (a)

(c) f ‘ (2)

(d) f ‘ ( 0)

Check Answer

c

Q.5 $\lim_{ x \rightarrow a} \frac{f(x)-f(0)}{x-a}$ =

(a) f ‘ (x)

(b) f ‘ (a)

(c) f ‘ (2)

(d) f ‘ ( 0)

Check Answer

a

Q.6 If f(x) $=x^{\frac{2}{3}}$ , then f'(8)=

(a) 1/2

(b) 2/3

(c) 1/3

(d) 3

(Gujranwala board, 2005)

Check Answer

c

Q.7 $\frac{d}{dx}(x^n)$ =

(a) $nx^{n-1}$

(b) $-nx^{n-1}$

(c) $(n-1)x^{n-1}$

(d) $\frac{x^{n-1}}{n+1}$

Check Answer

a

Q.8 $\frac{d}{dx}(x^n - 2)$ =

(a) $n(x^{n-1}-2)$

(b) $(n-2)x^{n-1}$

(c) $(n-1)x^{n-1}$

(d) $nx^{n-1}$

Check Answer

d

Q.9 $\frac{d}{dx}(x^2)=$

(a) x²

(b) x³

(c) 2x

(d) x

Check Answer

c

Q.10 $\frac{d}{dx}(ax+b)^n =$

(a) $n(ax^{n-1}+b)$

(b) $n(ax^{n-1}+b)^{n-1}$

(c) $nax^{n-1}$

(d) $na(ax+b)^{n-1}$

Check Answer

d

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2 comments

Pak Shaheens
14/08/2022 at 8:48 AM

Thats good effort:)

Reply
Sarfraz Ahmad
14/08/2022 at 8:50 AM

Important questions 🙂

Reply

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