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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\frac{d}{d x} ((- 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)

a re a y = 2 x - x^{2}, y = 0

d er i v a t i v e cos (π x) (π)

d er i v a t i v e f (x) = 4 π r^{2}

\int_{0}^{1} x^{4} e^{2 x} d x

d er i v a t i v e (8 x)^{6 x}

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)