Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

alexsu22

  • 4 years ago

Given the function f(x), the fraction f (x+h)-f(x)/h is the difference quotient associated with f. The determination of a function's difference quotient is the first step in determining the function's derivative and is an important topic in Calculus. For each of the following functions determine its difference quotient.

  • This Question is Closed
  1. alexsu22
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[f (x)= \sqrt{x}\]

  2. JJackers4
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt(x+h)-sqrt(x)/h => [(sqrt(x+h)-sqrt(x))*(sqrt(x+h)+sqrt(x)]/(h*(sqrt(x+h)+sqrt(x)) => (once cancelled) = h/(h*(sqrt(h+x)+sqrt(x))) = 1/(sqrt(x+h)+sqrt(x)) => (as h->0) = 1/2*sqrt(x) .. sorry this isn't typed up well computer is slow .. 1st part i rationalised the fraction btw. hope this helps

  3. viniterranova
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  4. viniterranova
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this is a answer

  5. alexsu22
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    THanks man!

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy