Choose the correct options for the following questions.
If $f(x)=\frac{1}{\sqrt{x^{2}-1}}$, then f'(x) equals:
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:
$\frac{3x}{\sqrt{x^{2}-1}}$
If $f(x)=(1-4x^{3})^{5}$ then f'(x) is:
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:
$(1-4x^{3})(1+4x^{3})^{4}$
If $y=(x^{2}+5)(x^{3}+7)$, then dy/dx equals:
Difficulty: Easy
A:
$3x^{2}+12x+35$
B:
$27x^{5}+35x^{3}+27$
C:
$5x^{4}+15x^{2}+14x$
D:
None
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