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March 29th, 2009, 05:15 AM   #1
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Quick derivative question

For finding the derivative of

would it be

or ?
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March 29th, 2009, 05:51 AM   #2
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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.
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March 29th, 2009, 06:03 AM   #3
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Re: Quick derivative question

Oops, left out the rest of the formula. Would it be

or



?
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March 29th, 2009, 06:59 AM   #4
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Quote:
Originally Posted by funsize999
For finding the derivative of
From your later post, I will guess that you are needing to "find the derivative from the definition", and that this definition is as follows:

[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.
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March 29th, 2009, 08:21 AM   #5
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Re: Quick derivative question

Limit as h approaches 0, not infinity.

You can also write .
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March 29th, 2009, 08:41 AM   #6
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Re: Quick derivative question

This is the formulae to derivate a rational function
good luck
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March 29th, 2009, 09:53 PM   #7
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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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