What is (\partial)/(\partial x)(8x^{9y}) ?

The answer to (\partial)/(\partial x)(8x^{9y}) is 72yx^{9y-1}

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(\partial)/(\partial x)(8x^{9y})

\frac{\partial}{\partial x} (8 x^{9 y})

72 y x^{9 y - 1}

Solution steps

\frac{\partial}{\partial x} (8 x^{9 y})

Treat

y

as a constant

Take the constant out:

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

= 8 \frac{\partial}{\partial x} (x^{9 y})

Apply the Power Rule:

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

= 8 \cdot 9 y x^{9 y - 1}

Simplify

= 72 y x^{9 y - 1}

e^{- x^{3}}

\int cos (d) x d x

x \to 0 lim (\frac{1}{e ^{x} - 1} - \frac{1}{x})

\int (\frac{x ^{3} - 2 x}{x}) d x

y = - \frac{1}{2 x ^{3}}, (2, - \frac{1}{16})

What is (\partial)/(\partial x)(8x^{9y}) ?
The answer to (\partial)/(\partial x)(8x^{9y}) is 72yx^{9y-1}