F(x) =(x^4 -3x^3 +2x -4)(x^2-4). Найдите f`(2)

Question

F(x) =(x^4 -3x^3 +2x -4)(x^2-4). Найдите f`(2)

Answer 1

F'(x)= (4x³-9x²+2)(x²-4)+ (x⁴-3x³+2x-4)*2x

f'(2) = (4*8-9*4+2)(4-4)+(16-3*8+4-4)*2*2=0+(16-24)4=-8*4=-32