What is (\partial)/(\partial x)(e^{xyz^2}) ?

The answer to (\partial)/(\partial x)(e^{xyz^2}) is e^{xyz^2}yz^2

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(\partial)/(\partial x)(e^{xyz^2})

\frac{\partial}{\partial x} (e^{x y z^{2}})

e^{x y z^{2}} y z^{2}

Solution steps

\frac{\partial}{\partial x} (e^{x y z^{2}})

Treat

y, z

as constants

Apply the chain rule:

e^{x y z^{2}} \frac{\partial}{\partial x} (x y z^{2})

= e^{x y z^{2}} \frac{\partial}{\partial x} (x y z^{2})

\frac{\partial}{\partial x} (x y z^{2}) = y z^{2}

= e^{x y z^{2}} y z^{2}

f (x) = \frac{ln ( x )}{x ^{2}}

\int 27 arctan (x) d x

y = sin (2 x) + sin^{2} (2 x), (0, 0)

\frac{\partial}{\partial x} (10 x + y)

f (x) = \frac{2}{x}, (- 5, - \frac{2}{5})

What is (\partial)/(\partial x)(e^{xyz^2}) ?
The answer to (\partial)/(\partial x)(e^{xyz^2}) is e^{xyz^2}yz^2