第5章 5.6

(1)

y=(x2+2x)(3x+1)=3x3+7x2+2xy = (x^2 + 2x)(3x + 1) = 3x^3 + 7x^2 + 2x

y′=9x2+14x+2y' = 9x^2 + 14x + 2

(2)

y=(2x3+6x)(7x−5)=14x4−10x3+42x2−30xy = (2x^3 + 6x)(7x - 5) = 14x^4 - 10x^3 + 42x^2 - 30x

y′=56x3−30x2+84x−30y' = 56x^3 - 30x^2 + 84x - 30

(3)

s=(t+1)(t2−4t−5)=t3−3t2−9t−5s = (t + 1)(t^2 - 4t - 5) = t^3 - 3t^2 - 9t - 5

s′=3t2−6t−9s' = 3t^2 - 6t - 9

(4)

y=(x−1)(x−2)(x−3)=x3−6x2+11x−6y = (x - 1)(x - 2)(x - 3) = x^3 - 6x^2 + 11x - 6

y′=3x2−12x+11y' = 3x^2 - 12x + 11

解説: r31bn1z