What is (\partial)/(\partial z)(xe^z) ?

The answer to (\partial)/(\partial z)(xe^z) is xe^z

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(\partial)/(\partial z)(xe^z)

\frac{\partial}{\partial z} (x e^{z})

x e^{z}

Solution steps

\frac{\partial}{\partial z} (x e^{z})

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial z} (e^{z})

Apply the common derivative:

\frac{\partial}{\partial z} (e^{z}) = e^{z}

= x e^{z}

\int x^{2} + 3 x - 1000000 d x

\frac{1}{x + 9}

\int \frac{e ^{\frac{x}{2}}}{x} d x

\int 7 x^{3} + 4 x^{2} d x

\frac{3}{2 x}

What is (\partial)/(\partial z)(xe^z) ?
The answer to (\partial)/(\partial z)(xe^z) is xe^z