用对数函数法求导
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用对数函数法求导用对数函数法求导 用对数函数法求导左右两边取对数,再y=x^2.√[(2x-1)/(x+1)]y''=√[(2x-1)/(x+1)].d/dx(x^2)+x^2.d/dx(√[
用对数函数法求导
用对数函数法求导
用对数函数法求导
左右两边取对数,再
y= x^2. √[(2x-1)/(x+1)]
y' =√[(2x-1)/(x+1)] .d/dx (x^2)+ x^2. d/dx (√[(2x-1)/(x+1)])
=2x.√[(2x-1)/(x+1)] + x^2 (1/2)√[(x+1)/(2x-1) . d/dx [(2x-1)/(x+1)]
=2x.√[(2x-1)/(x+1)] + x^2 (1/2)√[(x+1)/(2x-1) . [ 3/(x+1)^2]
=2x.√[(2x-1)/(x+1)] + (3/2) x^2./[ (x+1)^(3/2).√(2x-1) ]