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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{7}{x ^{3} - 125} d x

\frac{\partial}{\partial y} (sin^{2} (x - 3 y))

\frac{d}{d x} (s cos (x))

n = 2 \sum \infty \frac{1}{n ^{4}}

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