What is (\partial)/(\partial x)(2x^{8y}) ?

The answer to (\partial)/(\partial x)(2x^{8y}) is 16yx^{8y-1}

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(\partial)/(\partial x)(2x^{8y})

\frac{\partial}{\partial x} (2 x^{8 y})

16 y x^{8 y - 1}

Solution steps

\frac{\partial}{\partial x} (2 x^{8 y})

Treat

y

as a constant

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (x^{8 y})

Apply the Power Rule:

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

= 2 \cdot 8 y x^{8 y - 1}

Simplify

= 16 y x^{8 y - 1}

\int t^{4} ln (t) d t

f (x) = - \frac{11}{s ^{5}}

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

\int \frac{x ^{2} + 5}{x ^{3} + 4 x} d x

(3) (8.6)

What is (\partial)/(\partial x)(2x^{8y}) ?
The answer to (\partial)/(\partial x)(2x^{8y}) is 16yx^{8y-1}