y等于括号根号下x加一括回乘以括号根号下x分之一减一括回求导

2025-04-04 04:30:32
推荐回答(1个)
回答1:

y=(根号下x+1)(根号下1/x-1)
y'=(根号下x+1)'(根号下1/x-1)+(根号下x+1)(根号下1/x-1)'
=1/2 (根号下1/x-1)/根号x-1/2 (根号下x+1)/根号x^3
=1/2(1/x-1/根号x)-1/2 (1/x+1/根号x^3)
=-1/2(1/根号x+1/根号x^3)
=-1/x^2*(x根号x+根号x)