What is (\partial)/(\partial x)(e^{3xyz-8}) ?

The answer to (\partial)/(\partial x)(e^{3xyz-8}) is e^{3xyz-8}*3yz

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(\partial)/(\partial x)(e^{3xyz-8})

\frac{\partial}{\partial x} (e^{3 x yz - 8})

e^{3 x yz - 8} \cdot 3 yz

Solution steps

\frac{\partial}{\partial x} (e^{3 x yz - 8})

Treat

y, z

as constants

Apply the chain rule:

e^{3 x yz - 8} \frac{\partial}{\partial x} (3 x yz - 8)

= e^{3 x yz - 8} \frac{\partial}{\partial x} (3 x yz - 8)

\frac{\partial}{\partial x} (3 x yz - 8) = 3 yz

= e^{3 x yz - 8} \cdot 3 yz

(- 2, - 10), (0, - 4)

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What is (\partial)/(\partial x)(e^{3xyz-8}) ?
The answer to (\partial)/(\partial x)(e^{3xyz-8}) is e^{3xyz-8}*3yz