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} ((arctan (x)) d x)

\frac{d}{d x} (\frac{x ^{2} + 1}{3 x ^{3} + 4 x})

\int (e^{x}) d x

\frac{d}{d x} (\frac{x - 4}{x + 2})

x \to 3 lim (4 x^{2} - 2 x + 10)

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