y=(x-1)^2*(x+1)
y'=(x-1)^2*(x+1)'+((x-1)^2)' * (x+1)
=(x-1)^2+2(x-1)(x+1)
=(x-1)(x-1+2x+2)
=(x-1)(3x+1)
=3x^2-2x-1
或者先展开:
y=(x-1)^2(x+1)
=(x-1)(x^2-1)
=x^3-x^2-x+1
y'=3x^2-2x-1
y=(x-1)²(x+1),导数乘法则
y'=(x+1)*d(x-1)²/d(x-1)*d(x-1)/dx+(x-1)²*d(x+1)/dx
=(x+1)*2(x-1)*1+(x-1)²*1
=(x-1)[2(x+1)+(x-1)]
=(x-1)(3x+1)
y'=2(x-1)(x+1)+(x-1)^2=3x^2-2x-1
=2(x-1)(x+1)+(x-1)^2
=3x^2-2x-2