Choose the correct options for the following questions.
$\frac{\text{d}}{\text{d}t}(3t+2)^{-2}$=
Difficulty: Easy
A:
$\frac{6}{(3t+2)^{2}}$
B:
$\frac{-6}{(3t+2)}$
C:
$-\frac{6}{(3t+2)^{3}}$
D:
$\frac{6}{(3t+2)^{3}}$
$\frac{\text{d}}{\text{d}x}(\frac{1}{(az-b)^{7}})$=
Difficulty: Easy
A:
$-\frac{7}{(x-b)^{8}}$
B:
$\frac{-7}{(ax-b)^{8}}$
C:
$\frac{7a}{(az-b)^{8}}$
D:
$-\frac{7a}{(az-b)^{8}}$
If $y=3x^{2}+2x-\frac{4}{x^{2}}$, then dy/dx equals:
Difficulty: Easy
A:
$x^{3}+x^{2}-\frac{4}{x}$
B:
$x^{3}+x^{2}+\frac{4}{x}$
C:
$6x+2+\frac{8}{x^{3}}$
D:
$6x+2+\frac{8}{x}$
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