First slide

Diffrentiation

Question

If $y = \frac{1}{x^{4}}$ then, $\frac{d y}{d x}$ will be :

Easy

A

$\frac{4}{x^{3}}$
B

$4 x$
C

$- \frac{4}{x^{5}}$
D

$\frac{4}{x^{5}}$

Solution

$\frac{d y}{d x} = (x^{- 4}) = - 4 x^{- 4 - 1} = - 4 x^{- 5} = \frac{- 4}{x^{5}}$

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