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mathcalculus
Group Title
HELP: use your knowledge of the derivative to compute the limit given below:
lim (x+h)^(3.25) x^(3.25)/h
h>0
the derivative that is being calculated is dy/dx
 11 months ago
 11 months ago
mathcalculus Group Title
HELP: use your knowledge of the derivative to compute the limit given below: lim (x+h)^(3.25) x^(3.25)/h h>0 the derivative that is being calculated is dy/dx
 11 months ago
 11 months ago

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BangkokGarrett Group TitleBest ResponseYou've already chosen the best response.0
That is just a complicated way of asking you: "What is the derivative of x^3.25 ?"
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
oh.. but how do i get to my answer? what are the steps and why is it questioned in this format?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
i know how to find the derivative ^
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
3.25x^4.25
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
do we use quotient rule?
 11 months ago

BangkokGarrett Group TitleBest ResponseYou've already chosen the best response.0
If you are allowed to "use your knowledge of the derivative", you could say that by definition the derivative of a function (here your function is x^3.25) is the limit as h approaches 0 of f(x + h)  f(x). Therefore, this limit equals the derivative of x^3.25 which is (and you know how to do the derivative, right?)
 11 months ago

BangkokGarrett Group TitleBest ResponseYou've already chosen the best response.0
yes your derivative is correct
 11 months ago

BangkokGarrett Group TitleBest ResponseYou've already chosen the best response.0
no quotient rule here
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
so whats the main purpose of these kinds of questions? for ex: what if it was a square root problem... do we find only the deriative of the f(x+h) an thats our answer?
 11 months ago

BangkokGarrett Group TitleBest ResponseYou've already chosen the best response.0
find the derivative of f(x)...forget about the h. I think your prof just want's you to see how easy it is to do limits in that form now that you can do derivatives. Or maybe he / she wants to reinforce how derivatives relate to limits.
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
ex: (x+h)^(12/12) x^(12/12) / h
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
so do we find the derivative: 12?
 11 months ago
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