Differentiati… | NUST Entrance Test Mathematics

$\frac{\text{d}}{\text{d}t}(3t+2)^{-2}$=

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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