What is (\partial)/(\partial z)(z^{xy^2}) ?

The answer to (\partial)/(\partial z)(z^{xy^2}) is xy^2z^{xy^2-1}

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(\partial)/(\partial z)(z^{xy^2})

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

x y^{2} z^{x y^{2} - 1}

Solution steps

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

Treat

x, y

as constants

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= x y^{2} z^{x y^{2} - 1}

\int sec^{2} (3 x) e^{t a n (3 x)} d x

y^{^{'}} - y = x

x \to 0 lim (3 - x^{2})

\frac{d}{d s} (\frac{e ^{s}}{s})

f (x) = (1 - 2 x) (x - 1)^{3}

What is (\partial)/(\partial z)(z^{xy^2}) ?
The answer to (\partial)/(\partial z)(z^{xy^2}) is xy^2z^{xy^2-1}