View Single Post
May8-08, 02:03 PM
P: 53
1. The problem statement, all variables and given/known data
If g is differentiable and g(x+y)=g(x)(g(y) find g(0) and show g'(x)=g'(0)g(x)

3. The attempt at a solution
I solved g(0)=1


I got as far as

g'(x)=\lim_{\substack{x\rightarrow 0}}g(x) \frac{g(h)-1}{h}

but now I am stuck.

Thank you in advance
Phys.Org News Partner Science news on
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space