y=[sin(x^4)]^2,则dy/dx=?,dy^2/dx^2=?,dy/d(x^2)=?_数学解答

y=[sin(x^4)]^2,则dy/dx=?,dy^2/dx^2=?,dy/d(x^2)=?

人气：345 ℃　时间：2020-03-24 17:22:50

解答

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