What is the derivative of f(x)=(-3x^2-3)^4 ?

The derivative of f(x)=(-3x^2-3)^4 is -24x(-3x^2-3)^3

What is the first derivative of f(x)=(-3x^2-3)^4 ?

The first derivative of f(x)=(-3x^2-3)^4 is -24x(-3x^2-3)^3

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 3 x^{2} - 3) = - 6 x

= 4 (- 3 x^{2} - 3)^{3} (- 6 x)

Simplify

= - 24 x (- 3 x^{2} - 3)^{3}

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What is the derivative of f(x)=(-3x^2-3)^4 ?
The derivative of f(x)=(-3x^2-3)^4 is -24x(-3x^2-3)^3
What is the first derivative of f(x)=(-3x^2-3)^4 ?
The first derivative of f(x)=(-3x^2-3)^4 is -24x(-3x^2-3)^3