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

The derivative of f(x)=(-2x^2-2)^3 is -12x(-2x^2-2)^2

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

The first derivative of f(x)=(-2x^2-2)^3 is -12x(-2x^2-2)^2

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (- 2 x^{2} - 2)^{2} (- 4 x)

Simplify

= - 12 x (- 2 x^{2} - 2)^{2}

\frac{d}{d x} (- e^{- x} cos (x) - e^{- x} sin (x))

\frac{\partial}{\partial x} (x e^{x y} + 2 y)

\int e^{1 - 2 t} d t

\int 2 - 3 x d x

\frac{\partial}{\partial x} (4 y^{8} + 3 y^{2} x^{2})

What is the derivative of f(x)=(-2x^2-2)^3 ?
The derivative of f(x)=(-2x^2-2)^3 is -12x(-2x^2-2)^2
What is the first derivative of f(x)=(-2x^2-2)^3 ?
The first derivative of f(x)=(-2x^2-2)^3 is -12x(-2x^2-2)^2