A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Zenmo

  • one year ago

Help me understand this textbook example (Calculus Limits & Derivatives).

  • This Question is Closed
  1. Zenmo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't understand how slope is 3/2.

    1 Attachment
  2. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh, i think they are just supposing that the "slope" at x=5 turned out to be 3/2.

  3. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    They are trying to introduce the notation. Tell me, you might have heard that the "derivative" is the "slope", have you?

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

    yes. here is the next part

    1 Attachment
  5. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, and what about it?

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

    I still don't see how they got 3/2 as the slope

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

    Did you mean the definition of a derivative?

  8. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what exactly are you trying to ask me?

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

    In the example from the pictures, I don't know how they gotten the slope as 3/2. So, I want to know how they got it.

  10. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    They are telling you this (for part 1): Suppose the slope of the function f, at x=5 is approximately equal to 3/2. You know that the slope/derivative at every x on the function is denoted by f`(x), and thus the slope of the function at at a particular value of x=c is denoted by f'(c). So, to denote that \(\large"\)the slope/derivative of the function at x=5 is approximately 3/2 \(\large"\), --> you will write: f`(5) ≈ 3/2

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

    Ok, thanks.

  12. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    And for part 2, what exactly do you want to know?

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

    Posted there in-case more information was needed as that is the expanded part of the example.

  14. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yeah, they have a graph for ` f(x) `. That is the graph of the function in \(\LARGE \color{blue}{\rm _{^{blue}}}\), it is the first graph. You will agree that a particular point at ` x=c ` will be ` ( c,f(c) ) `. Then, you got a \(\LARGE \color{purple}{\rm _{^{purple}}}\) graph, it is the second graph and it is for the derivative (or the slope) of the function f(x), and it is denoted by: ` f '(x) `. ---> The slope at x=c will be given by f'(c). So the (c,f(c)) gives you the point at x=c, and f'(c) gives you the instantaneous slope of that point.

  15. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Observe the point B on the graph of f(x). You will see that the B' (the derivative of B), is B'=0.

  16. 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

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.