What is (\partial)/(\partial x)(xe^{-3z+2y}) ?

The answer to (\partial)/(\partial x)(xe^{-3z+2y}) is e^{-3z+2y}

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(\partial)/(\partial x)(xe^{-3z+2y})

\frac{\partial}{\partial x} (x e^{- 3 z + 2 y})

e^{- 3 z + 2 y}

Solution steps

\frac{\partial}{\partial x} (x e^{- 3 z + 2 y})

Treat

z, y

as constants

Take the constant out:

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

= e^{- 3 z + 2 y} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{- 3 z + 2 y} \cdot 1

Simplify

= e^{- 3 z + 2 y}

arccos (3 x^{2})

\frac{d}{d x} (e^{1 - c o s (x)})

\frac{d}{d x} (x e^{2})

4 x (2 x - 3)^{7}

\frac{\partial}{\partial x} (x^{4} sin (2 x))

What is (\partial)/(\partial x)(xe^{-3z+2y}) ?
The answer to (\partial)/(\partial x)(xe^{-3z+2y}) is e^{-3z+2y}