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求隐函数y=tan(x+y)的二阶导数
人气:363 ℃ 时间:2019-12-17 05:14:11
解答
y=tan(x+y)得y'=(1+y')/(cos(x+y))^2 解得y'=-1/(sin(x+y))^2=-(sin(x+y))^(-2) y''=2(sin(x+y))^(-3)*cos(x+y)*(1+y') =2(sin(x+y))^(-3)*cos(x+y)*(1-1/(sin(x+y))^2) =-2(cos(x+y))^3(sin(x+y))^(-5)
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