简单且实用的方法是将函数的右边化为一般形式,然后再求导即f(x)=(x-1)(x+1)(x+1)(x+1)=(x2-1)(x2+2x+1)=x4+2x3-2x-1则f'(x)=4x3+6x2-2
f(x)=(x-1)(x+1)³f'(x)=(x-1)'*(x+1)³+(x-1)[(x+1)³]'=(x+1)³+3(x-1)(x+1)²=(x+1)²(4x-2)