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设y=f((2x-1)/(x+1)),f'(x)=lnx^(1/3),求dy/dx
人气:479 ℃ 时间:2020-04-18 23:41:13
解答
复合函数求导 设 y=f(t),t(x)=(2x-1)/(x+1) 则 dy/dt = lnt^(1/3)=ln{[(2x-1)/(x+1)]^(1/3)},dt/dx=[(2x-1)/(x+1)]'=3/(x+1)^2 【具体过程】dy/dx =(dy/dt)*(dt/dx) =f'[(2x-1)/(x+1)]*[(2x-1)/(x+1)]' =ln{[(2x-1)/...
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