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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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\int_{\frac{π}{2}}^{π} 4 cot (\frac{x}{2}) d x

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