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mathcalculus
 one year 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
mathcalculus
 one year 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

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

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

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0i know how to find the derivative ^

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0do we use quotient rule?

BangkokGarrett
 one year ago
Best ResponseYou've already chosen the best response.0If 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?)

BangkokGarrett
 one year ago
Best ResponseYou've already chosen the best response.0yes your derivative is correct

BangkokGarrett
 one year ago
Best ResponseYou've already chosen the best response.0no quotient rule here

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0so 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?

BangkokGarrett
 one year ago
Best ResponseYou've already chosen the best response.0find 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.

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0ex: (x+h)^(12/12) x^(12/12) / h

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0so do we find the derivative: 12?
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