2、[cos(xy)]^3 +[sin(xy)]^3,求z关于x的偏导数(偏导数的符号不会打+_+!)

2、[cos(xy)]^3 +[sin(xy)]^3,求z关于x的偏导数(偏导数的符号不会打+_+!)
2、[cos(xy)]^3 +[sin(xy)]^3,求z关于x的偏导数(偏导数的符号不会打+_+!)

2、[cos(xy)]^3 +[sin(xy)]^3,求z关于x的偏导数(偏导数的符号不会打+_+!)
直接把y看作是常数,
对x求导
z(x,y)=[cos(xy)]^3+[sin(xy)]^3
Zx(x,y)=3[cos(xy)]^2*[cos(xy)]'(xy)'+3[sin(xy)]^2*[sin(xy)]'(xy)'
=3y[(sin(xy)^2(cos(xy))+cos(xy)^2(-sin(xy))]

Z'x=3[cos(xy)]^2 *[-sin(xy)]*y +3[sin(xy)]^2 *[cos(xy)]*y