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Differentiation - Set 6

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NUST Entrance Test
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Mathematics
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Differentiation

Set 6

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Mashaal Masha

Oct 05, 2022

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$The derivative of $x^{\frac{5}{2}}$ is$
$The derivative of $x^{\frac{3}{2}}$ is:$

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}}

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