Differentiation Mcqs FSc Math 2nd Year Chapter 02

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Q.21  f(x) = \frac{1}{x-1} , then f ‘(2) =

(a)     1

(b)     0

(c)     -1

(d)      -2

Check Answer
c

Q.22 If (x) = x^{-100} , then f ‘ ( x ) =

(a)    -99x^{-99}

(b)    100x^{-99}

(c)    100x^{-101}

(d)    -100x^{-101}

Check Answer
d

Q.23   If  f(x) = x¹⁰⁰ then f ‘ (1) = 

(a)    100

(b)     99

(c)   50

(d)    0

Check Answer
a

Q.24  \frac{d}{dx}\sqrt{x-9} =

(a)    \frac{2}{\sqrt{x-9}}

(b)  -\frac{1}{2\sqrt{x-9}}

(c)     \frac{1}{2\sqrt{x-9}}

(d)    \sqrt{x-9}

Check Answer
c

Q.25 \frac{d}{dt}[\frac{1}{(3t+2)^3}] =

(a)    \frac{9}{(3t+2)^2}

(b)    -\frac{9}{(3t+2)^4}

(c)      -\frac{9}{(3t+2)^2}

(d)      {9}{(3t+2)^2}

Check Answer
b

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