Differentiation Mcqs FSc Math 2nd Year Chapter 02

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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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