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Differentiation - Set 3
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NUST Entrance Test
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Mathematics
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Differentiation
Set 3
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Mashaal Masha
Oct 05, 2022
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Choose the correct options for the following questions.
If $f(x)=\frac{1}{\sqrt{x^{2}-1}}$, then f'(x) equals:
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Difficulty: Easy
A:
$\frac{2}{\sqrt{x^{2}-1}}$
B:
$-\frac{x}{\sqrt{(x^{2}-1)^{3}}}$
C:
$\frac{x}{\sqrt{x^{2}-1}}$
D:
$\frac{3x}{\sqrt{x^{2}-1}}$
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If $f(x)=(1-4x^{3})^{5}$ then f'(x) is:
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Difficulty: Easy
A:
$(1-29x^{3})(1-4x^{3})^{6}$
B:
$(1-60x^{2})(1-4x^{3})^{4}$
C:
$(1-60x^{2})(1-4x^{3})^{5}$
D:
$(1-4x^{3})(1+4x^{3})^{4}$
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