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

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

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

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

\frac{2}{2 + y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{2}{2 + y} \cdot 1

Simplify

= \frac{2}{2 + y}

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