What is the derivative of (1-4/(x+2))^3 ?

The derivative of (1-4/(x+2))^3 is (12(x-2)^2)/((x+2)^4)

What is the first derivative of (1-4/(x+2))^3 ?

The first derivative of (1-4/(x+2))^3 is (12(x-2)^2)/((x+2)^4)

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derivative of

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

\frac{12 ( x - 2 ) ^{2}}{( x + 2 ) ^{4}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

3 (1 - \frac{4}{x + 2})^{2} \frac{4}{( x + 2 ) ^{2}} : \frac{12 ( x - 2 ) ^{2}}{( x + 2 ) ^{4}}

= \frac{12 ( x - 2 ) ^{2}}{( x + 2 ) ^{4}}

5 tan (x), at x = \frac{π}{3}

\frac{d}{d x} (arctan (\frac{x}{y}))

\frac{x ^{2}}{e ^{x}}

\int_{0}^{1} e^{- 4 x} d x

\frac{d}{d x} (C e^{- 2 x})

What is the derivative of (1-4/(x+2))^3 ?
The derivative of (1-4/(x+2))^3 is (12(x-2)^2)/((x+2)^4)
What is the first derivative of (1-4/(x+2))^3 ?
The first derivative of (1-4/(x+2))^3 is (12(x-2)^2)/((x+2)^4)