What is (\partial)/(\partial x)((xy^2)/(z^3)) ?

The answer to (\partial)/(\partial x)((xy^2)/(z^3)) is (y^2)/(z^3)

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(\partial)/(\partial x)((xy^2)/(z^3))

\frac{\partial}{\partial x} (\frac{x y ^{2}}{z ^{3}})

\frac{y ^{2}}{z ^{3}}

Solution steps

\frac{\partial}{\partial x} (\frac{x y ^{2}}{z ^{3}})

Treat

y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{y ^{2}}{z ^{3}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= \frac{y ^{2}}{z ^{3}} \cdot 1

Simplify

= \frac{y ^{2}}{z ^{3}}

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

\int x - 7 d x

x \to + 0 lim (\frac{e ^{x^{2}} - 1}{x})

\frac{d}{d x} (\frac{x ^{2} + 25}{x})

\frac{\partial}{\partial z} (ln (1 + z^{2}))

What is (\partial)/(\partial x)((xy^2)/(z^3)) ?
The answer to (\partial)/(\partial x)((xy^2)/(z^3)) is (y^2)/(z^3)