What is the derivative of (132/(x^{13)}) ?

The derivative of (132/(x^{13)}) is -(1716)/(x^{14)}

What is the first derivative of (132/(x^{13)}) ?

The first derivative of (132/(x^{13)}) is -(1716)/(x^{14)}

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\frac{d}{d x} (\frac{132}{x ^{13}})

- \frac{1716}{x ^{14}}

Solution steps

\frac{d}{d x} (\frac{132}{x ^{13}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 132 \frac{d}{d x} (\frac{1}{x ^{13}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 132 \frac{d}{d x} (x^{- 13})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 132 (- 13 x^{- 13 - 1})

Simplify

132 (- 13 x^{- 13 - 1}) : - \frac{1716}{x ^{14}}

= - \frac{1716}{x ^{14}}

What is the derivative of (132/(x^{13)}) ?
The derivative of (132/(x^{13)}) is -(1716)/(x^{14)}
What is the first derivative of (132/(x^{13)}) ?
The first derivative of (132/(x^{13)}) is -(1716)/(x^{14)}