F(x) = (-4x^3+1)^4-(2-x)^5 найти производную

Найдем производную функции F (x) = (-4 * x^3 + 1)^4 - (2 - x)^5. 

F \' (x) = ((-4 * x^3 + 1)^4 - (2 - x)^5) = ((-4 * x^3 + 1)^4) - ((2 - x)^5) \' = 4 * (-4 * x^3 + 1)^(4 - 1) * (-4 * x^3 + 1) \' - 5 * (2 - x)^(5 - 1) * (2 - x) \' = 4 * (-4 * x^3 + 1)^3 * (-4 * 3 * x^2) - 5 * (2 - x)^4 * (-1) = 4 * (-4 * x^3 + 1)^3 * (-12 * x^2) + 5 * (2 - x)^4  = -12 * x^2 * 4 * (-4 * x^3 + 1)^3 + 5 * (2 - x)^4  = -48 * x^2 * (-4 * x^3 + 1)^3 + 5 * (2 - x)^4; 

То есть,  F \' (x) = -48 * x^2 * (-4 * x^3 + 1)^3 + 5 * (2 - x)^4.