What is (\partial)/(\partial z)((xy)^z) ?

The answer to (\partial)/(\partial z)((xy)^z) is (xy)^zln(xy)

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(\partial)/(\partial z)((xy)^z)

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

(x y)^{z} ln (x y)

Solution steps

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

Treat

x, y

as constants

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= (x y)^{z} ln (x y)

What is (\partial)/(\partial z)((xy)^z) ?
The answer to (\partial)/(\partial z)((xy)^z) is (xy)^zln(xy)