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

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

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

\frac{\partial}{\partial y} (x \cdot 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

\frac{d y}{d x}, y^{3} - 2 x y + 7 = 3 x + 1

\int 5 x \cdot cos (8 x) d x

\frac{d}{d x} (- sin^{2} (x))

\frac{\partial}{\partial y} (2 ln (y))

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