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}

ln (9 - 7 x)

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

\frac{d}{d x} (- 3 a sin (3 x) + b cos (3 x) \cdot 3)

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

x \to 2 lim (9 - x^{2})

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