What is (\partial)/(\partial x)(2x^2y^4) ?

The answer to (\partial)/(\partial x)(2x^2y^4) is 4xy^4

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(\partial)/(\partial x)(2x^2y^4)

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

4 x y^{4}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= 2 y^{4} \cdot 2 x^{2 - 1}

Simplify

= 4 x y^{4}

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What is (\partial)/(\partial x)(2x^2y^4) ?
The answer to (\partial)/(\partial x)(2x^2y^4) is 4xy^4