What is (\partial)/(\partial x)(e^{6xy}) ?

The answer to (\partial)/(\partial x)(e^{6xy}) is e^{6xy}*6y

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(\partial)/(\partial x)(e^{6xy})

\frac{\partial}{\partial x} (e^{6 x y})

e^{6 x y} \cdot 6 y

Solution steps

\frac{\partial}{\partial x} (e^{6 x y})

Treat

y

as a constant

Apply the chain rule:

e^{6 x y} \frac{\partial}{\partial x} (6 x y)

= e^{6 x y} \frac{\partial}{\partial x} (6 x y)

\frac{\partial}{\partial x} (6 x y) = 6 y

= e^{6 x y} \cdot 6 y

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What is (\partial)/(\partial x)(e^{6xy}) ?
The answer to (\partial)/(\partial x)(e^{6xy}) is e^{6xy}*6y