Posted by maggie on Wednesday, March 7, 2012 at 11:06am.
find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y
and show that the mixed partial derivatives fxy and fyx are equal
f'(x)=3x^2+2xy^2+1
f'(Y)=2x^2+3y^2+1
f'(xy)=4xy
f'(yx)=4xy
For part B, your figure there is an ellipsoid, x^2+y^2+z^2=4, so the domain should be (x,y,z):X<4,y<4,z<4
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