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

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

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

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

2 x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y

\int x^{2} (3 - 2 x) d x

x^{2} - 6 x, 0

\int_{\frac{π}{4}}^{\frac{π}{3}} cot (x) d x

\int x e^{- 7 x} d x

\frac{\partial}{\partial z} (z e^{x y})

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