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

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

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

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

2 x y

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y

3 ln (2 x)

\int \frac{sin ^{2} ( \frac{1}{x} )}{x ^{2}} d x

\frac{d}{d x} (1 0^{6} \cdot x^{2} \cdot e^{- x})

\int \frac{e ^{2 t}}{e ^{2 t} + 4} d t

\frac{d}{d y} (10 e^{x} sin (y) z^{3})

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