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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
 8 months ago
 8 months ago
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
 8 months ago
 8 months ago

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BangkokGarrettBest 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 ?"
 8 months ago

mathcalculusBest 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?
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
i know how to find the derivative ^
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
do we use quotient rule?
 8 months ago

BangkokGarrettBest 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?)
 8 months ago

BangkokGarrettBest ResponseYou've already chosen the best response.0
yes your derivative is correct
 8 months ago

BangkokGarrettBest ResponseYou've already chosen the best response.0
no quotient rule here
 8 months ago

mathcalculusBest 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?
 8 months ago

BangkokGarrettBest 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.
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
ex: (x+h)^(12/12) x^(12/12) / h
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
so do we find the derivative: 12?
 8 months ago
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