What is (\partial)/(\partial x)(e^{8xy}) ?

The answer to (\partial)/(\partial x)(e^{8xy}) is e^{8xy}*8y

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(\partial)/(\partial x)(e^{8xy})

\frac{\partial}{\partial x} (e^{8 x y})

e^{8 x y} \cdot 8 y

Solution steps

\frac{\partial}{\partial x} (e^{8 x y})

Treat

y

as a constant

Apply the chain rule:

e^{8 x y} \frac{\partial}{\partial x} (8 x y)

= e^{8 x y} \frac{\partial}{\partial x} (8 x y)

\frac{\partial}{\partial x} (8 x y) = 8 y

= e^{8 x y} \cdot 8 y

What is (\partial)/(\partial x)(e^{8xy}) ?
The answer to (\partial)/(\partial x)(e^{8xy}) is e^{8xy}*8y