Choose the correct options for the following questions.
IF $f(x)=\frac{ax+b}{cx+d}$ then f'(0) equals:
Difficulty: Easy
A:
bc-ad
B:
$\frac{ad+bc}{d^{2}}$
C:
$\frac{ad-bc}{d^{2}}$
D:
b/d
If $y=x^{-3}+2x^{-\frac{3}{2}}+3$, then dy/dx equals:
Difficulty: Easy
A:
$\frac{x^{4}}{x^{\frac{5}{2}}}$
B:
$x^{4}-x^{-\frac{1}{2}}$
C:
$x^{-4}-x^{-\frac{3}{2}}$
D:
$x^{-4}-x^{-\frac{5}{2}}$
$\frac{\text{d}}{\text{d}x}(\sqrt{x} -\frac{1}{\sqrt{x}})^{2}$=
Difficulty: Easy
A:
$2x^{2}-1$
B:
$1-x^{2}$
C:
$\frac{x^{2}-1}{x^{2}}$
D:
$1+x^{2}$
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