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

The answer to (\partial)/(\partial x)(e^{xyz^6}) is e^{xyz^6}yz^6

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

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

e^{x y z^{6}} y z^{6}

Solution steps

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

Treat

y, z

as constants

Apply the chain rule:

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

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

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

= e^{x y z^{6}} y z^{6}

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\frac{d}{d x} (10 sin (2 x))

\int - e^{x^{2}} x d x

What is (\partial)/(\partial x)(e^{xyz^6}) ?
The answer to (\partial)/(\partial x)(e^{xyz^6}) is e^{xyz^6}yz^6