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

The answer to (\partial)/(\partial x)(x^{13}) is 13x^{12}

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

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

13 x^{12}

Solution steps

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

Apply the Power Rule:

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

= 13 x^{13 - 1}

Simplify

= 13 x^{12}

x^{2} - 5 x + 5

\frac{\partial}{\partial x} (y cos (x^{2} + y^{2}))

\frac{d}{d x} (\frac{- 1}{1 - x})

\frac{d}{d x} (\frac{x}{1 + 1 - x ^{2}})

\int \frac{1100 x}{x ^{2} + 80} d x

What is (\partial)/(\partial x)(x^{13}) ?
The answer to (\partial)/(\partial x)(x^{13}) is 13x^{12}