Choose the correct options for the following questions.
The derivative of $x^{\frac{5}{2}}$ is
Difficulty: Easy
A:
$\frac{5}{2}x^{-\frac{3}{2}}$
B:
$-\frac{5}{2}x^{\frac{3}{2}}$
C:
$\frac{5}{2}x^{\frac{3}{2}}$
D:
$-\frac{1}{2}x^{-\frac{15}{2}}$
The derivative of $x^{\frac{3}{2}}$ is:
Difficulty: Easy
A:
$\frac{3}{2}x^{\frac{1}{2}}$
B:
$\frac{3}{2}x^{-\frac{1}{2}}$
C:
$\frac{3}{2}x^{\frac{5}{2}}$
D:
$3(x)^{-\frac{1}{2}}$
The derivative of $\frac{2}{x^{4}}$ is
Difficulty: Easy
A:
$-8(x)^{5}$
B:
$-\frac{8}{x^{5}}$
C:
$5x^{-3}$
D:
$-8x^{-3}$
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