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

The answer to (\partial)/(\partial x)(e^{x*z}) is e^{xz}z

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(\partial)/(\partial x)(e^{x*z})

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

e^{x z} z

Solution steps

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

Treat

z

as a constant

Apply the chain rule:

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

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

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

= e^{x z} z

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