What is (\partial)/(\partial x)(5x^{2y}) ?

The answer to (\partial)/(\partial x)(5x^{2y}) is 10yx^{2y-1}

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(\partial)/(\partial x)(5x^{2y})

\frac{\partial}{\partial x} (5 x^{2 y})

10 y x^{2 y - 1}

Solution steps

\frac{\partial}{\partial x} (5 x^{2 y})

Treat

y

as a constant

Take the constant out:

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

= 5 \frac{\partial}{\partial x} (x^{2 y})

Apply the Power Rule:

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

= 5 \cdot 2 y x^{2 y - 1}

Simplify

= 10 y x^{2 y - 1}

What is (\partial)/(\partial x)(5x^{2y}) ?
The answer to (\partial)/(\partial x)(5x^{2y}) is 10yx^{2y-1}