What is the derivative of (-4x^2+25^2) ?

The derivative of (-4x^2+25^2) is -16x(-4x^2+25)

What is the first derivative of (-4x^2+25^2) ?

The first derivative of (-4x^2+25^2) is -16x(-4x^2+25)

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\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

- 16 x (- 4 x^{2} + 25)

Solution steps

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

Apply the chain rule:

2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

= 2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

\frac{d}{d x} (- 4 x^{2} + 25) = - 8 x

= 2 (- 4 x^{2} + 25) (- 8 x)

Simplify

= - 16 x (- 4 x^{2} + 25)

(- 1, 1), (5, - 1)

\frac{d}{d x} (e^{g (x)})

\frac{d ^{2}}{d x ^{2}} (sin (x))

x \to 0 lim (\frac{6 x}{x ^{4}})

x \to π + lim (\frac{π}{sin ( π )})

What is the derivative of (-4x^2+25^2) ?
The derivative of (-4x^2+25^2) is -16x(-4x^2+25)
What is the first derivative of (-4x^2+25^2) ?
The first derivative of (-4x^2+25^2) is -16x(-4x^2+25)