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Basic Differentiation Rule

If y=1 / x 4,...

Question

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

A

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

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B

4 x^{3}

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C

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

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D

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

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Solution

The correct option is C $- \frac{4}{x^{5}}$
$y = x^{- 4}$
$d y / d x = (- 4) x^{- 4 - 1} = - 4 / x^{5}$

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