What is (\partial)/(\partial x)((xy)^2) ?

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

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(\partial)/(\partial x)((xy)^2)

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

2 x y^{2}

Solution steps

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

Simplify

(x y)^{2} : x^{2} y^{2}

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y^{2}

\frac{d}{d x} (\frac{1}{x ^{1}})

\frac{d}{d x} (x e x)

y^{^{''}} - 2 y^{^{'}} + 5 y = 17 cos (2 x)

\int x (12 x + 8) d x

x \to 0 lim (e^{- \frac{1}{x}})

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