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

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

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

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

2 e^{y} x

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 e^{y} x

e^{4 t s i n (2 t)}

\int \frac{x ^{2} + 3}{x ^{2} - 3 x + 2} d x

\int (3 x^{2} + cos (x)) d x

\frac{d}{d x} (e^{3 x s i n (2 x)})

\frac{\partial}{\partial x} (\frac{x}{1 + x ^{2} y ^{2}})

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