What is (\partial)/(\partial x)((13-x)^{80}) ?

The answer to (\partial)/(\partial x)((13-x)^{80}) is -80(13-x)^{79}

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(\partial)/(\partial x)((13-x)^{80})

\frac{\partial}{\partial x} ((13 - x)^{80})

- 80 (13 - x)^{79}

Solution steps

\frac{\partial}{\partial x} ((13 - x)^{80})

Apply the chain rule:

80 (13 - x)^{79} \frac{\partial}{\partial x} (13 - x)

= 80 (13 - x)^{79} \frac{\partial}{\partial x} (13 - x)

\frac{\partial}{\partial x} (13 - x) = - 1

= 80 (13 - x)^{79} (- 1)

Simplify

= - 80 (13 - x)^{79}

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What is (\partial)/(\partial x)((13-x)^{80}) ?
The answer to (\partial)/(\partial x)((13-x)^{80}) is -80(13-x)^{79}