What is (\partial)/(\partial x)(e^{xyz^9}) ?

The answer to (\partial)/(\partial x)(e^{xyz^9}) is e^{xyz^9}yz^9

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(\partial)/(\partial x)(e^{xyz^9})

\frac{\partial}{\partial x} (e^{x y z^{9}})

e^{x y z^{9}} y z^{9}

Solution steps

\frac{\partial}{\partial x} (e^{x y z^{9}})

Treat

y, z

as constants

Apply the chain rule:

e^{x y z^{9}} \frac{\partial}{\partial x} (x y z^{9})

= e^{x y z^{9}} \frac{\partial}{\partial x} (x y z^{9})

\frac{\partial}{\partial x} (x y z^{9}) = y z^{9}

= e^{x y z^{9}} y z^{9}

d er i v a t i v e ln (9 - 7 x)

\int \frac{3 x ^{2} + 2 x + 1}{x} d x

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

\int sin^{2} (4 θ) d θ

l a pl a ce t r an s f or m f (t) = 5 cos (8 t) + 3 e^{- 4} sin (3 t)

What is (\partial)/(\partial x)(e^{xyz^9}) ?
The answer to (\partial)/(\partial x)(e^{xyz^9}) is e^{xyz^9}yz^9