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}}

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

\frac{d y}{d x} = \frac{x}{4 y}

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

\int \frac{3}{x ^{2} - 1} d x

\int 3 x e^{\frac{2 x}{3}} d x

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