大一高数,这道题怎么求导啊?

2025-04-02 23:30:04
推荐回答(1个)
回答1:

y = (1-√x)/(1+√x) = [2-(1+√x)/(1+√x) = 2 - 1/(√(1+x)
dy/dx = -1/(1+√x)² *1/(2√x) = - 1/{2√x*(1+√x)²]
dy/dx |(x=4) = - 1/{2√4*(1+√4)²] = -1/[2*2*(1+2)²] = -1/36