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

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

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

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

2 e^{2 y} x

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 e^{2 y} x

\int x^{3} (x^{2} - 2 x) d x

\frac{d}{d x} ((5 x^{2} - 4 x) e^{x})

3 x e^{\frac{- 1}{y ^{3}}}

\int cos^{6} (x) sin (x) d x

y = 11 + cot^{2} (x)

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