July 23rd, 2018, 04:06 AM  #1 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4  Can someone solve this problem?
this is not a homework. 
July 23rd, 2018, 05:10 AM  #2 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4 
did i solve for A) correctly? 
July 23rd, 2018, 07:12 AM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,924 Thanks: 1521  
July 23rd, 2018, 08:04 AM  #4 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4 
Are you saying that function g(x) is not increasing for interval 2 < x < 3?
Last edited by skipjack; July 23rd, 2018 at 11:18 AM. 
July 23rd, 2018, 09:26 AM  #5  
Math Team Joined: Jul 2011 From: Texas Posts: 2,924 Thanks: 1521  Quote:
note on $2 < x < 3$, $g'(x) = f(x) < 0 \implies g(x)$ is decreasing. Last edited by skipjack; July 23rd, 2018 at 11:18 AM.  
July 23rd, 2018, 09:40 AM  #6 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4 
But at that interval for higher value of $x$ we get higher value of $f(x)$, but never mind. Can you just do for D) please? That would be great. Last edited by skipjack; July 23rd, 2018 at 10:32 AM. 
July 23rd, 2018, 10:47 AM  #7 
Senior Member Joined: Sep 2016 From: USA Posts: 609 Thanks: 378 Math Focus: Dynamical systems, analytic function theory, numerics  
July 23rd, 2018, 11:23 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 20,641 Thanks: 2084 
What are your answers for (B) and (C), 1ucid?

July 23rd, 2018, 11:29 AM  #9 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4 
is this ok? 
July 23rd, 2018, 11:41 AM  #10 
Member Joined: Aug 2015 From: Montenegro (Podgorica) Posts: 37 Thanks: 4  This is for (B), but for (C) I'm not sure what is the right answer. Last edited by skipjack; July 23rd, 2018 at 12:06 PM. 

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