PARTIAL DERIVATIVE: Compute #(del^2g)/(delxdely)# and #(del^2g)/(delydelx)# for the function #g(x,y)=(1+y^2)e^(x^2-y)# and show that they are both equal?
Solution to this problem is #2xe^(x^2-y)(2y-1-y^2)# . Please, could someone explain this thoroughly to me and future viewers? Thanks!
Solution to this problem is
1 Answer
Explanation:
For
In order to find
Now we do take the derivative of
Now, we could do the same thing in the opposite order (perhaps you want to as an exercise), but there is a theorem stating that if