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+_+!)
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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+_+!)](/uploads/image/z/1197809-17-9.jpg?t=2%E3%80%81%5Bcos%28xy%29%5D%5E3+%2B%5Bsin%28xy%29%5D%5E3%2C%E6%B1%82z%E5%85%B3%E4%BA%8Ex%E7%9A%84%E5%81%8F%E5%AF%BC%E6%95%B0%28%E5%81%8F%E5%AF%BC%E6%95%B0%E7%9A%84%E7%AC%A6%E5%8F%B7%E4%B8%8D%E4%BC%9A%E6%89%93%2B_%2B%21%29)
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))]
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))]
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+_+!)
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