A community for students.
Here's the question you clicked on:
 0 viewing
mathcalculus
 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
mathcalculus
 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

This Question is Closed

BangkokGarrett
 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 ?"

mathcalculus
 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?

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

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

BangkokGarrett
 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?)

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

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

mathcalculus
 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?

BangkokGarrett
 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.

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

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0so do we find the derivative: 12?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.