设y=sin(x y),求d²y/dx²

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设y=sin(x y),求d²y/dx²

设y=sin(x y),求d²y/dx²
设y=sin(x y),求d²y/dx²

设y=sin(x y),求d²y/dx²
y=sin(xy)
dy/dx=cos(xy)*y
=ycos(xy)
d²y/dx²=-ysin(xy)*y
=-y²sin(xy)