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

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

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

\frac{\partial}{\partial x} (x^{2} \cdot 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

\frac{\partial}{\partial x} (3 y^{2} x)

\frac{\partial}{\partial x} (6 x^{7 y})

\frac{d}{d x} (sin (x + sin (7 x)))

y = (x - 1) e^{x}

n = 1 \sum \infty \frac{3}{n ( n + 3 )}

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