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

The answer to (\partial)/(\partial y)(-y/((x+2)^2)) is -1/((x+2)^2)

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

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

- \frac{1}{( x + 2 ) ^{2}}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

= - \frac{1}{( x + 2 ) ^{2}} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= - \frac{1}{( x + 2 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x + 2 ) ^{2}}

What is (\partial)/(\partial y)(-y/((x+2)^2)) ?
The answer to (\partial)/(\partial y)(-y/((x+2)^2)) is -1/((x+2)^2)