A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

I can't understand the meaning of Problem 1: (c) "Find a value of Δx for which the value of Δy/Δx is within 0.1 units of Δx the slope of the tangent line." What is the "0.1 units of the slope"?

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

    The question is about how far off our secant estimate for the actual tangent is. Use the mathlet on the page and follow the instructions carefully. The size of delta x is what will determine how accurate our estimate is. The question basically asks for what value of delta x we have the estimation within 0.1 units (whatever the particular units are is not important here) of the actual value of the derivative at that point:\[|f'(0.75)-\frac{f(0.75+\Delta x)-f(0.75)}{\Delta x}|\le0.1\]

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

    The calculation is done for you by the mathlet though.

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

    I seem to have been confused by the word "units". Aha, I should only take account of the difference between the slope of the tangent line and of the secant line. Thank you, TuringTest!

  4. 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.