What is the derivative of (-9x^2+4)^2 ?

The derivative of (-9x^2+4)^2 is -36x(-9x^2+4)

What is the first derivative of (-9x^2+4)^2 ?

The first derivative of (-9x^2+4)^2 is -36x(-9x^2+4)

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derivative of

(- 9 x^{2} + 4)^{2}

- 36 x (- 9 x^{2} + 4)

Solution steps

\frac{d}{d x} ((- 9 x^{2} + 4)^{2})

Apply the chain rule:

2 (- 9 x^{2} + 4) \frac{d}{d x} (- 9 x^{2} + 4)

= 2 (- 9 x^{2} + 4) \frac{d}{d x} (- 9 x^{2} + 4)

\frac{d}{d x} (- 9 x^{2} + 4) = - 18 x

= 2 (- 9 x^{2} + 4) (- 18 x)

Simplify

= - 36 x (- 9 x^{2} + 4)

What is the derivative of (-9x^2+4)^2 ?
The derivative of (-9x^2+4)^2 is -36x(-9x^2+4)
What is the first derivative of (-9x^2+4)^2 ?
The first derivative of (-9x^2+4)^2 is -36x(-9x^2+4)