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)

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

\frac{d}{d x} (y + x)

cos (π x) (π)

\frac{d}{d x} ((x^{2} - 1) (x - 1))

x \to 1 lim (2 x^{5} - 7 x^{4} + 7)

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)