y=tan(x+y)二阶导数

问题描述:

y=tan(x+y)二阶导数

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') =-...