What is the derivative of (x+2)^{-4} ?

The derivative of (x+2)^{-4} is -4/((x+2)^5)

What is the first derivative of (x+2)^{-4} ?

The first derivative of (x+2)^{-4} is -4/((x+2)^5)

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derivative of

(x + 2)^{- 4}

- \frac{4}{( x + 2 ) ^{5}}

Solution steps

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

Apply the chain rule:

- \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

= - \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

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

= - \frac{4}{( x + 2 ) ^{5}} \cdot 1

Simplify

= - \frac{4}{( x + 2 ) ^{5}}

\frac{d}{d y} (2 y)

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

1 - 1 - x^{2}

f (x) = (3 x - 4) 2 (x - 2)

- t^{2} + 4 t + 4

What is the derivative of (x+2)^{-4} ?
The derivative of (x+2)^{-4} is -4/((x+2)^5)
What is the first derivative of (x+2)^{-4} ?
The first derivative of (x+2)^{-4} is -4/((x+2)^5)