Calculus Homework

Question

Consider           for  for . Compute :

None of these.

       :      . 

Answer 1

The partial derivative of f(x,y) with respect to x is given by (1/x²y)*2xy=2/x. The second partial derivative with respect to x is given by -2/x².

If you evaluate this quantity at x=-1, then you obtain -2 which is the fourth option.

Best,

Davide