Question

函数f(x)=(x+1)^2(x-1)^3的导数怎么求

Answer 1

(ab)'=a'b+ab'
f(x)=(x+1)²(x-1)³
f'(x)=2(x+1)(x-1)³+(x+1)²3(x-1)²
f'(x)=(x+1)(x-1)²[2（x-1）+3(x+1)]
f'(x)=(x+1)(x-1)²(5x+1)

Answer 2

f`(x)=2(x+1)(x-1)^3+(x+1)^2 3(x-1)^2
=(x+1)(x-1)^2{2x-2+3x+3}
=(x+1)(x-1)^2(5x+1)