[BlindMath] Average Rate of Change problem

[Sabra Ewing]

Hello. Limits actually are part of pre-calculus. That could be what they want is for you to get the limit of the function.

Sabra Ewing

> On Aug 19, 2018, at 8:16 PM, Joseph C. Lininger via BlindMath <blindmath at nfbnet.org> wrote:
> 
> Susan,
> Warning to others, I'm going into a bit of calculus in this message, which is beyond the original scope of the question asked by the original poster. I need to in order to answer Susan's question.
> 
> You understand correctly regarding average rate of change being used as a tool for preparing the student to understand derivative. In fact, all you have to do to turn that average into a derivative is to take the limit of the average as (x_2 - x_1) goes to 0. Its normally rewritten a bit to look like this.
> 
> (f(x + h) - f(x)) / (h)
> 
> Now, take the limit as h goes to 0 and you'll get the derivative of f(x). So the average rate of change expression is extremely close to the expression for finding a derivative.
> 
> --
> Joe
> 
>> On 8/19/2018 18:42, Susan Jolly via BlindMath wrote:
>> Hi Bill,
>> 
>> You are correct that except for a linear function this formula will
>> typically give different results for different intervals. But my
>> understanding is that this formula represents a standard definition which is
>> useful background information intended to help a student appreciate the
>> definition of a derivative once they get to calculus.
>> 
>> Susan J.
>> 
>> 
>> _______________________________________________
>> BlindMath mailing list
>> BlindMath at nfbnet.org
>> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
>> To unsubscribe, change your list options or get your account info for BlindMath:
>> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/devnull-blindmath%40pcdesk.net 
>> BlindMath Gems can be found at <http://www.blindscience.org/blindmath-gems-home>
> 
> 
> _______________________________________________
> BlindMath mailing list
> BlindMath at nfbnet.org
> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
> To unsubscribe, change your list options or get your account info for BlindMath:
> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/sabra1023%40gmail.com
> BlindMath Gems can be found at <http://www.blindscience.org/blindmath-gems-home>