What is (\partial)/(\partial x)(e^{3xyz-7}) ?

The answer to (\partial)/(\partial x)(e^{3xyz-7}) is e^{3xyz-7}*3yz

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(\partial)/(\partial x)(e^{3xyz-7})

\frac{\partial}{\partial x} (e^{3 x yz - 7})

e^{3 x yz - 7} \cdot 3 yz

Solution steps

\frac{\partial}{\partial x} (e^{3 x yz - 7})

Treat

y, z

as constants

Apply the chain rule:

e^{3 x yz - 7} \frac{\partial}{\partial x} (3 x yz - 7)

= e^{3 x yz - 7} \frac{\partial}{\partial x} (3 x yz - 7)

\frac{\partial}{\partial x} (3 x yz - 7) = 3 yz

= e^{3 x yz - 7} \cdot 3 yz

What is (\partial)/(\partial x)(e^{3xyz-7}) ?
The answer to (\partial)/(\partial x)(e^{3xyz-7}) is e^{3xyz-7}*3yz