What is the derivative of f(x)=(-25x^2+1)^2 ?

The derivative of f(x)=(-25x^2+1)^2 is -100x(-25x^2+1)

What is the first derivative of f(x)=(-25x^2+1)^2 ?

The first derivative of f(x)=(-25x^2+1)^2 is -100x(-25x^2+1)

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derivative of

f (x) = (- 25 x^{2} + 1)^{2}

- 100 x (- 25 x^{2} + 1)

Solution steps

\frac{d}{d x} ((- 25 x^{2} + 1)^{2})

Apply the chain rule:

2 (- 25 x^{2} + 1) \frac{d}{d x} (- 25 x^{2} + 1)

= 2 (- 25 x^{2} + 1) \frac{d}{d x} (- 25 x^{2} + 1)

\frac{d}{d x} (- 25 x^{2} + 1) = - 50 x

= 2 (- 25 x^{2} + 1) (- 50 x)

Simplify

= - 100 x (- 25 x^{2} + 1)

\int \frac{1}{3} cos (3 x) d x

(y^{3} - 1) e^{x} d x + 3 y^{2} (e^{x} + 1) d y = 0, y (0) = 0

\frac{\partial}{\partial c} (c^{\frac{1}{2}} + l^{\frac{1}{2}})

\frac{d}{d x} (\frac{x ^{3}}{3} - x^{2} + 2)

x \to \infty lim (x + 1)

What is the derivative of f(x)=(-25x^2+1)^2 ?
The derivative of f(x)=(-25x^2+1)^2 is -100x(-25x^2+1)
What is the first derivative of f(x)=(-25x^2+1)^2 ?
The first derivative of f(x)=(-25x^2+1)^2 is -100x(-25x^2+1)