What is the derivative of f(x)=(-25x^2+9)^2 ?

The derivative of f(x)=(-25x^2+9)^2 is -100x(-25x^2+9)

What is the first derivative of f(x)=(-25x^2+9)^2 ?

The first derivative of f(x)=(-25x^2+9)^2 is -100x(-25x^2+9)

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derivative of

f (x) = (- 25 x^{2} + 9)^{2}

- 100 x (- 25 x^{2} + 9)

Solution steps

\frac{d}{d x} ((- 25 x^{2} + 9)^{2})

Apply the chain rule:

2 (- 25 x^{2} + 9) \frac{d}{d x} (- 25 x^{2} + 9)

= 2 (- 25 x^{2} + 9) \frac{d}{d x} (- 25 x^{2} + 9)

\frac{d}{d x} (- 25 x^{2} + 9) = - 50 x

= 2 (- 25 x^{2} + 9) (- 50 x)

Simplify

= - 100 x (- 25 x^{2} + 9)

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What is the derivative of f(x)=(-25x^2+9)^2 ?
The derivative of f(x)=(-25x^2+9)^2 is -100x(-25x^2+9)
What is the first derivative of f(x)=(-25x^2+9)^2 ?
The first derivative of f(x)=(-25x^2+9)^2 is -100x(-25x^2+9)