Question

F(x)= 2-2cosx произаодная​

Answer 1

Данный ответ представлен фотографией.

Answer 2

To find the derivative of the function $f(x) = 2 - 2\cos(x)$ with respect to $x$, we'll apply the rules of differentiation. The derivative of $\cos(x)$ is $-\sin(x)$, and the derivative of a constant is 0. Using these rules, we can find the derivative of $f(x)$:

$f(x) = 2 - 2\cos(x)$ $f'(x) = \frac{d}{dx}(2) - \frac{d}{dx}(2\cos(x))$ $f'(x) = 0 - 2(-\sin(x))$ $f'(x) = 2\sin(x)$

So, the derivative of the function $f(x) = 2 - 2\cos(x)$ with respect to $x$ is $f'(x) = 2\sin(x)$.