F(x)=(3-2х)(2х+3) F'(-2)=?

Найдем производную функции F (x) = (3 - 2 * х) * (2 * х + 3).  

F \' (x) = ((3 - 2 * х) * (2 * х + 3)) \' = (3 - 2 * x) \' * (2 * x + 3) + (2 * x + 3) \' * (3 - 2 * x) = (0 - 2 * 1) * (2 * x + 3) + (2 * 1 + 0) * (3 - 2 * x) = -2 * (2 * x + 3) + 2 * (3 - 2 * x) = -2 * 2 * x - 2 * 3 + 2 * 3 - 2 * 2 * x = -4 * x - 6 + 6 - 4 * x = -4 * x - 4 * x = -2 * 4 * x = -8 * x; 

Найдем производную в точке. 

F \' (-2) = -8 * x = -8 * (-2) = 8 * 2 = 16. 

Ответ:  F \' (-2) = 16.