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y=tan(x+y) 求二阶导数
人气:189 ℃ 时间:2020-03-17 02:56:58
解答
y'= dy/dx =sec^2(x+y)·(1+y');→[sec^2(x+y) -1]·y'=sec^2(x+y);→[tan^2(x+y) ]·y'=sec^2(x+y);→y'=1/sin^2(x+y);则:y'' =dy' /dx=d[sin^(-2)(x+y)] /dx=(-2)·sin^(-3)(x+y) ·cos(x+y)·(1+y') =-...
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