What is (\partial)/(\partial x)(e^{9xz}) ?

The answer to (\partial)/(\partial x)(e^{9xz}) is e^{9xz}*9z

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(\partial)/(\partial x)(e^{9xz})

\frac{\partial}{\partial x} (e^{9 x z})

e^{9 x z} \cdot 9 z

Solution steps

\frac{\partial}{\partial x} (e^{9 x z})

Treat

z

as a constant

Apply the chain rule:

e^{9 x z} \frac{\partial}{\partial x} (9 x z)

= e^{9 x z} \frac{\partial}{\partial x} (9 x z)

\frac{\partial}{\partial x} (9 x z) = 9 z

= e^{9 x z} \cdot 9 z

What is (\partial)/(\partial x)(e^{9xz}) ?
The answer to (\partial)/(\partial x)(e^{9xz}) is e^{9xz}*9z