f(x)= (5-x)(3x^2+2)
f'(x) = ((5-x)(3x^2+2))' = (5-x)' * (3x^2+2) + (5-x) * (3x^2+2)' = -(3x^2 + 2) + (5-x) * 6x = -3x^2 - 2 + 30x - 6x^2 = -9x^2 + 30x - 2
ответ: f'(x) = -9x^2 + 30x - 2.
f(x)= (5-x)(3x^2+2)
f'(x) = ((5-x)(3x^2+2))' = (5-x)' * (3x^2+2) + (5-x) * (3x^2+2)' = -(3x^2 + 2) + (5-x) * 6x = -3x^2 - 2 + 30x - 6x^2 = -9x^2 + 30x - 2
ответ: f'(x) = -9x^2 + 30x - 2.