Posted by engmath on Tuesday, February 9, 2010 at 9:12pm.
Find f'(c) if f(x)=3e^(x+2)+ e^(5)
[NOTE:A small algebraic manipulation is needed first to get f(x) into a form so that the derivative can be taken and your answer isn't a # but rather a formula that returns and answer.]
attempt at the problem:
3e^(x+2)=e^(5)>ln both sides
3^(x+2)=5
f(x)=3^(x+2)+5
so then: f'(x)=3^(x+2)*ln(3)
This answer is incorrect and I don't know what else to do. I also tried to just take the derivative without manipulating the problem and my answer was still incorrect. Please help. Thank you!!

Calculus  bobpursley, Tuesday, February 9, 2010 at 9:18pm
3e^(x+2)=e^(5)
e^{3(x+2)}=e^{5}
now take the ln of both sides. 
Calculus  engmath, Tuesday, February 9, 2010 at 10:40pm
after you ln both sides you end up with
3(x+2)=5
3x6=5
f(x)= 3x1
f'(x)= 3
unfortunately that was not correct either, but I appreciate your help! :)