求导y=(1+x^3)/(1-x^3)

问题描述:

求导y=(1+x^3)/(1-x^3)
用复合函数的导数法则还是?

对,用复合函数求导法.y = (1+x²)/(1-x³)= -(x³+1)(x³-1)= -(x³-1+2)(x³-1)= -[1 + 2/(x³-1)]= - 1 - 2/(x³-1)dy/dx = 0 + [2/(x³-1)^2]3x²= 0 + 6x²/(x&sup...