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

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

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

\frac{\partial}{\partial x} (x^{2} \cdot 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 e^{(2 x)} d x

\int_{0}^{5} \frac{3 x}{( x - 6 ) ^{2}} d x

\int_{e}^{\infty} x^{1} ln (x) d x

\frac{d}{d x} (sin (x^{6}))

\frac{d}{d x} (- \frac{24 x ( x ^{2} + 3 )}{( x ^{2} - 3 ) ^{4}})

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