View Single Post
  #11  
Old December 4th, 2008, 09:08 AM
running-gag running-gag is offline
MHF Contributor
 
Join Date: Nov 2008
Posts: 1,217
Country:
Thanks: 39
Thanked 582 Times in 543 Posts
running-gag is a name known to allrunning-gag is a name known to allrunning-gag is a name known to allrunning-gag is a name known to allrunning-gag is a name known to allrunning-gag is a name known to all
Default

In the case F(x) = e^{-x} - e^{-2x}
the derivative is F'(x) = -e^{-x} +2 e^{-2x}

F'(x) = 0 leads to -e^{-x} +2 e^{-2x} = 0

2 e^{-2x} = e^{-x}

2 = e^x

x = ln(2) which is an absolute max

Reply With Quote