What is (\partial)/(\partial y)((2y)/(x+z)) ?

The answer to (\partial)/(\partial y)((2y)/(x+z)) is 2/(x+z)

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(\partial)/(\partial y)((2y)/(x+z))

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

\frac{2}{x + z}

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{2}{x + z} \cdot 1

Simplify

= \frac{2}{x + z}

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What is (\partial)/(\partial y)((2y)/(x+z)) ?
The answer to (\partial)/(\partial y)((2y)/(x+z)) is 2/(x+z)