derivatives, denoted by arây and The defining equations are af a and %3D EXERCISE 5.2 Find all the second order partial derivatives of the functions in the exercises1-10. 1. f(x, y)=x+y+xy 2. f(x,y) sin xy 3. f(xy)-xe+y+1 4. f(x,y) In(x+ y) 5. f(x.y)-tan" (y/x) 7. S(x.y)-e/(1+ y) x, y) = x'+y'-3axy 6. 8. f(x, y)-1/(x +y') 9. f(x.y) = 1/(x+ y) 10. f(x, y) = x. In exercise 11-14, venfy that f, =f,. 11. f(x,y)= In(2x= 31) 12. f(x, y) = e +xln y+yln x OEN 业

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