What is the derivative of-(12/((x+2)^2)) ?

The derivative of-(12/((x+2)^2)) is (24)/((x+2)^3)

What is the first derivative of-(12/((x+2)^2)) ?

The first derivative of-(12/((x+2)^2)) is (24)/((x+2)^3)

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\frac{d}{d x} (- \frac{12}{( x + 2 ) ^{2}})

\frac{24}{( x + 2 ) ^{3}}

Solution steps

\frac{d}{d x} (- \frac{12}{( x + 2 ) ^{2}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{( x + 2 ) ^{2}})

Apply exponent rule:

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

= - 12 \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

= - 12 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1)

Simplify

- 12 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1) : \frac{24}{( x + 2 ) ^{3}}

= \frac{24}{( x + 2 ) ^{3}}

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

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

What is the derivative of-(12/((x+2)^2)) ?
The derivative of-(12/((x+2)^2)) is (24)/((x+2)^3)
What is the first derivative of-(12/((x+2)^2)) ?
The first derivative of-(12/((x+2)^2)) is (24)/((x+2)^3)