What is (\partial)/(\partial x)(4x^{8y}) ?

The answer to (\partial)/(\partial x)(4x^{8y}) is 32yx^{8y-1}

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(\partial)/(\partial x)(4x^{8y})

\frac{\partial}{\partial x} (4 x^{8 y})

32 y x^{8 y - 1}

Solution steps

\frac{\partial}{\partial x} (4 x^{8 y})

Treat

y

as a constant

Take the constant out:

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

= 4 \frac{\partial}{\partial x} (x^{8 y})

Apply the Power Rule:

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

= 4 \cdot 8 y x^{8 y - 1}

Simplify

= 32 y x^{8 y - 1}

What is (\partial)/(\partial x)(4x^{8y}) ?
The answer to (\partial)/(\partial x)(4x^{8y}) is 32yx^{8y-1}