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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

x \to 0.9 lim (2 (0.9) + 1)

x \to 6 lim (x^{2})

(\frac{3}{10}, - 2), (- \frac{1}{5}, - \frac{1}{5})

x \to 0 lim (\frac{x}{sin ( 9 x )})

y = (4 x + 3) (2 x^{2} + 7 x - 1)

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