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

The derivative of 2/((x+2)^2) is -4/((x+2)^3)

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

The first derivative of 2/((x+2)^2) is -4/((x+2)^3)

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

= 2 \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

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

Simplify

2 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1) : - \frac{4}{( x + 2 ) ^{3}}

= - \frac{4}{( x + 2 ) ^{3}}

\int (\frac{4}{x} + 2 e^{x} - sin (x)) d x

y = 2 x^{3} - 3 x + 1, (1, 0)

x^{2} + 6 x + 9

4 ln (9 - 5 x^{2})

(x^{2} + 1) d y = (x - 4 x y) d x

What is the derivative of 2/((x+2)^2) ?
The derivative of 2/((x+2)^2) is -4/((x+2)^3)
What is the first derivative of 2/((x+2)^2) ?
The first derivative of 2/((x+2)^2) is -4/((x+2)^3)