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

The answer to (\partial)/(\partial x)(x^2ye^y) is 2e^yxy

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

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

2 e^{y} x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 e^{y} x y

y^{^{''}} - y^{^{'}} + 484 y = 22 sin (22 t)

\int tan (x) cos (x) d x

\frac{d}{d x} ((8 - x)^{3})

\int \frac{1}{2 + x ^{2}} d x

x \to 4 lim (\frac{x ^{2} - 16}{2 x ^{2} + 7 x - 4})

What is (\partial)/(\partial x)(x^2ye^y) ?
The answer to (\partial)/(\partial x)(x^2ye^y) is 2e^yxy