March 29th, 2009, 05:15 AM  #1 
Newbie Joined: Mar 2009 Posts: 20 Thanks: 0  Quick derivative question
For finding the derivative of would it be or ? 
March 29th, 2009, 05:51 AM  #2 
Senior Member Joined: Jul 2008 Posts: 895 Thanks: 0  Re: Quick derivative question
Neither. What do you know about the definition of the derivative and limits? I removed my math symbol program form this computer, but the definition is in any text. 
March 29th, 2009, 06:03 AM  #3 
Newbie Joined: Mar 2009 Posts: 20 Thanks: 0  Re: Quick derivative question
Oops, left out the rest of the formula. Would it be or ? 
March 29th, 2009, 06:59 AM  #4  
Senior Member Joined: Mar 2009 Posts: 318 Thanks: 0  Quote:
[color=white]. . . . .[/color] If so, then start with what you learned back in algebra about evaluating functions, and work in smaller steps. [color=white]. . . . .[/color] [color=white]. . . . .[/color] Then use what you learned back in algebra about subtracting rational expressions to simplify the numerator of the limit expression first: [color=white]. . . . .[/color] [color=white]. . . . .[/color] [color=white]. . . . .[/color] [color=white]. . . . .[/color] Now plug this into the derivative limit expression: [color=white]. . . . .[/color] Then apply the limit as h tends toward zero.  
March 29th, 2009, 08:21 AM  #5 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: Quick derivative question
Limit as h approaches 0, not infinity. You can also write . 
March 29th, 2009, 08:41 AM  #6 
Newbie Joined: Mar 2009 Posts: 7 Thanks: 0  Re: Quick derivative question
This is the formulae to derivate a rational function good luck 
March 29th, 2009, 09:53 PM  #7 
Newbie Joined: Mar 2009 Posts: 20 Thanks: 0  Re: Quick derivative question
Thanks for the help guys, I think I've got it now If a question asked to find the rate of change in a graph (the graph being a parabola) would I use the derivative? 

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