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

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

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

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

e^{x} x^{2}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

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

Simplify

= e^{x} x^{2}

(0) (2.6)

n = 1 \sum \infty 4 (\frac{1}{4})^{n}

\frac{\partial}{\partial z} (z^{2} + x^{2})

\int e^{- x^{2}} x d x

\frac{d}{d x} (- cos (3 x) 3)

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