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

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

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(\partial)/(\partial x)(xe^{-y})

\frac{\partial}{\partial x} (x 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}

\int (sec (2 y) - csc (2 y)) d y

x \to - 1 lim (1)

\int (x - 6)^{3} d x

\int_{- 3}^{2} - x^{2} - 2 x d x

\frac{d}{d x} (ln (x y + x - y - 1))

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