sahsjing
Advanced Member
USA
2399 Posts 
Posted  10/17/2007 : 16:13:20

As David said above, this one is really quite a simple one. Let u = v = 0, you can get the answer immediately.
Here is a similar problem I gave to my class:
Suppose f is a function that satisfies the equation f(x+y) = f(x) + f(y) + xy + xy for all real numbers of x and y. Suppose also that lim{x>0}f(x)/x = 1 Find f(0), f'(0), and f'(x). 

