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

The derivative of (-x^2-2x-2)^3 is 3(-x^2-2x-2)^2(-2x-2)

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

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

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derivative of

(- x^{2} - 2 x - 2)^{3}

3 (- x^{2} - 2 x - 2)^{2} (- 2 x - 2)

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (- x^{2} - 2 x - 2)^{2} (- 2 x - 2)

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