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

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

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

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

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derivative of

(- 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}

\frac{x - cos ( x )}{x ^{2} + cot ( x )}

\int \frac{2 x ^{2} + 3 x + 6}{x ^{3} + 4 x} d x

\int \frac{( x + 1 )}{( x ^{2} + 1 )} d x

y = ln (x + 6)

\int (sin (x))^{4} d x

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