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

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

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

\frac{\partial}{\partial x} (x \cdot e^{- y})

e^{- y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{- y} \cdot 1

Simplify

= e^{- y}

\frac{d y}{d x} = 1

\int \frac{( x + 1 ) ^{4}}{2 x} d x

\frac{d}{d x} (x^{2} sin (4 x - 3))

x \to - 2 lim (\frac{3 x + 6}{x + 2})

\int (1 + e)^{5} d x

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