What is (\partial)/(\partial x)(6x^{8y}) ?

The answer to (\partial)/(\partial x)(6x^{8y}) is 48yx^{8y-1}

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(\partial)/(\partial x)(6x^{8y})

\frac{\partial}{\partial x} (6 x^{8 y})

48 y x^{8 y - 1}

Solution steps

\frac{\partial}{\partial x} (6 x^{8 y})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (x^{8 y})

Apply the Power Rule:

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

= 6 \cdot 8 y x^{8 y - 1}

Simplify

= 48 y x^{8 y - 1}

\frac{\partial}{\partial z} (cos (x))

\frac{d}{d u} (u^{9} + v^{5})

y^{^{'}} + (x + 1) y = e^{x^{2}} y^{3}

\int (4 x^{2} - 8 x + 1) d x

n = 0 \sum \infty (1 - \frac{1}{n})^{n}

What is (\partial)/(\partial x)(6x^{8y}) ?
The answer to (\partial)/(\partial x)(6x^{8y}) is 48yx^{8y-1}