Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Caio

  • one year ago

1C-2 Why do I have to use f(x) - f(a) over x - a on the difference quotient ?

  • This Question is Closed
  1. robertehoward
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The difference quotient is about change in height(y) over the change in width(x). If x-a is the difference in width of a function, the difference in height would be f(x)-(a). If you're using \[\Delta x\] as the change in width then you want\[f(x+\Delta x) - f(x)\] to represent the change in height. If you're h as the change in width then you would f(x+h)-f(x) as the change in height, all 3 forms are the same way of saying the change in height over the change in width, which is called the slope. The difference quotient is about finding the instantaneous slope, that is when the limit of the change in width approaches zero.

  2. Caio
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok I get it now, thank you

  3. EulersEquation
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is just another way of finding the slope: the change in y divided by the change in x: (y2-y1)/(x2-x1)

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

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.