What is (\partial}{\partial y}(\frac{xy)/z) ?

The answer to (\partial}{\partial y}(\frac{xy)/z) is x/z

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(\partial}{\partial y}(\frac{xy)/z)

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

\frac{x}{z}

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{x}{z} \cdot 1

Simplify

= \frac{x}{z}

\int - 9 ln (x^{2} - 1) d x

\frac{d}{d x} (x^{2} + 12)

x \to - 2 lim (2 x^{2} - 5 x + 3)

\int_{1}^{3} \frac{2}{x} d x

(7 - x^{3})^{- 1} (x^{2} - 1)^{\frac{2}{3}}

What is (\partial}{\partial y}(\frac{xy)/z) ?
The answer to (\partial}{\partial y}(\frac{xy)/z) is x/z