F(x)= (x+1)(x+2)(x+3)Найти f'(х)

F (x) = (x + 1) * (x + 2) * (x + 3). 

Найдем производную функции. 

F \' (x) = ((x + 1) * (x + 2) * (x + 3)) \' = ((x + 1) * (x + 2)) \' * (x + 3) + (x + 3) \' * (x + 1) * (x + 2)) = ((x + 3) * ((x + 1) \' * (x + 2) + (x + 2) \' * (x + 1) + (x + 1) * (x + 2)) = ((x + 3) * ((x + 2) + (x + 1) + (x + 1) * (x + 2)) = ((x + 3) * (x + 2 + x + 1) + (x  + 1) * (x + 2)) = (x + 3) * (2 * x + 3) + (x + 1) * (x + 2) = 2 * x ^ 2 + 6 * x + 3 * x + 9 + x ^ 2 + 2 * x + x  + 2 = 2 * x ^ 2 + 9 * x + 9 + x ^ 2 + 3 * x + 2 = 3 * x ^ 2 + 12 * x + 11.