y=[sin(x^4)]^2,则dy/dx=?,dy^2/dx^2=?,dy/d(x^2)=?
问题描述：
y=[sin(x^4)]^2,则dy/dx=?,dy^2/dx^2=?,dy/d(x^2)=?
答
dy/dx=2sin(x^4)cos(x^4)*4x^3 复合函数求导
dy^2/dx^2=[8x^3sin(x^4)cos(x^4)]^2
dy/d(x^2)=2sin(x^4)cos(x^4)*2x^2