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{x}{x - 2}

\int cos (x) \cdot sin (x) d x

\int x cos^{4} (x^{2}) d x

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 e^{- 2 t}

x^{'} (t) = \frac{1}{3 x ^{2} + 1}, x (0) = 1

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