
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 1st, 2013, 07:11 PM  #1 
Newbie Joined: Nov 2013 Posts: 2 Thanks: 0  Differentiation of Exponential Functions: 37,500^e10/8
Hello Everyone, A tapestry purchased in 1998 for $300,000 is estimated to be worth v(t)=300,000e^t/8 dollars after t years. At what rate will the tapestry be appreciating in 2008? I start v'(t)=300,000e^t/8*1/8=37,500e^t/8 t=20081998=10 v'(10)=37,500^e10/8 Can you please explain how to solve v'(10)=37,500^e10/8? Thank you! I have an example: v'(4)=112,500e^4/2 The answer is ~ 831,269 I just don't understand how you come to ~ 831,269 
November 1st, 2013, 08:56 PM  #2 
Newbie Joined: Nov 2013 Posts: 2 Thanks: 0  Re: Differentiation of Exponential Functions: 37,500^e10/8
* I figured it out 37,500 * 3.49034~130,888

November 2nd, 2013, 07:50 AM  #3  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Differentiation of Exponential Functions: 37,500^e10/8 Quote:
Quote:
10/8= 5/4= 1.24. 37500 times 3.4903429 is 130,889, not 831,269.  

Tags 
500e10 or 8, differentiation, exponential, functions 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Help with exponential functions  BlackSnowMarine  Algebra  4  February 1st, 2014 04:05 AM 
Differentiation of an Exponential  ftball22  Calculus  3  September 12th, 2013 10:46 AM 
exponential functions  Logan19  Calculus  5  April 18th, 2012 11:46 PM 
Differentiation of exponential functions  pomazebog  Calculus  2  March 3rd, 2012 08:53 PM 
differentiation&calculus: exponential decay  heero78  Calculus  1  October 28th, 2011 04:18 PM 