What is the derivative of 2/((x+2)^3) ?

The derivative of 2/((x+2)^3) is -6/((x+2)^4)

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

The first derivative of 2/((x+2)^3) is -6/((x+2)^4)

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derivative of

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

- \frac{6}{( x + 2 ) ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

2 (- \frac{3}{( x + 2 ) ^{4}} \cdot 1) : - \frac{6}{( x + 2 ) ^{4}}

= - \frac{6}{( x + 2 ) ^{4}}

f (x) = 6^{x}

\frac{\partial}{\partial y} (x^{3} + y^{3} - 3 x y)

f (x) = 4 - 3 x, g (x) = 2 x^{2} - x

\int_{- 3}^{- 2} x^{2} e^{x^{3} + 27} d x

x \to 2 lim (2 x - 9)

What is the derivative of 2/((x+2)^3) ?
The derivative of 2/((x+2)^3) is -6/((x+2)^4)
What is the first derivative of 2/((x+2)^3) ?
The first derivative of 2/((x+2)^3) is -6/((x+2)^4)