What is (\partial)/(\partial x)(x^{5y}) ?

The answer to (\partial)/(\partial x)(x^{5y}) is 5yx^{5y-1}

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(\partial)/(\partial x)(x^{5y})

\frac{\partial}{\partial x} (x^{5 y})

5 y x^{5 y - 1}

Solution steps

\frac{\partial}{\partial x} (x^{5 y})

Treat

y

as a constant

Apply the Power Rule:

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

= 5 y x^{5 y - 1}

f (x) = \frac{8}{x}

\frac{d}{d x} (ln (x^{4} sin^{2} (x)))

\frac{\partial}{\partial x} (2 x^{4})

\frac{\partial}{\partial x} (12 x + 6 y - x^{2} + x y - y^{2})

7 x - 6

What is (\partial)/(\partial x)(x^{5y}) ?
The answer to (\partial)/(\partial x)(x^{5y}) is 5yx^{5y-1}