What is the derivative of f(x)= 1/((x+2)^2) ?

The derivative of f(x)= 1/((x+2)^2) is -2/((x+2)^3)

What is the first derivative of f(x)= 1/((x+2)^2) ?

The first derivative of f(x)= 1/((x+2)^2) is -2/((x+2)^3)

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derivative of

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

- \frac{2}{( x + 2 ) ^{3}}

Solution steps

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

= - \frac{2}{( x + 2 ) ^{3}} \frac{d}{d x} (x + 2)

\frac{d}{d x} (x + 2) = 1

= - \frac{2}{( x + 2 ) ^{3}} \cdot 1

Simplify

= - \frac{2}{( x + 2 ) ^{3}}

\frac{d}{d x} (x^{2} - 2 x - 15)

\frac{1 - e ^{- 2 s}}{s}

x \to - \infty lim (1 - x^{3})

\int x ln (11 x) d x

x \to \frac{3 π}{2} lim (sin (x))

What is the derivative of f(x)= 1/((x+2)^2) ?
The derivative of f(x)= 1/((x+2)^2) is -2/((x+2)^3)
What is the first derivative of f(x)= 1/((x+2)^2) ?
The first derivative of f(x)= 1/((x+2)^2) is -2/((x+2)^3)