z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?

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z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?z=x^2sin(xy),对x的偏函数怎么求sin(xy

z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?
z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?

z=x^2sin(xy),对x的偏函数怎么求sin(xy)这块怎么处理?
因为是对x的偏导,把y当成常数
即先积法则
dz/dx=(x^2)'sin(xy)+x^2(sin(xy))'
=2xsin(xy)+x^2cos(xy)*(xy)'
=2xsin(xy)+x^2cos(xy)*y

把y当成是一个常数来求,即可