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

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

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

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

2 x y^{4}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y^{4}

\frac{x}{x + 5}

\int (x^{2} - 2) d x

2 x^{2} - 7

8 y^{^{''}} + 26 y = 0

\frac{e ^{- s}}{s ^{3}}

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