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anonymous
 2 years 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
anonymous
 2 years 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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anonymous
 2 years 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 ?"

anonymous
 2 years 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?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0i know how to find the derivative ^

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0do we use quotient rule?

anonymous
 2 years 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?)

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0yes your derivative is correct

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0no quotient rule here

anonymous
 2 years 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?

anonymous
 2 years 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.

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0ex: (x+h)^(12/12) x^(12/12) / h

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0so do we find the derivative: 12?
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