A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5 4 3 2 0

  • This Question is Closed
  1. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how far did you get?

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

    well i mean i know what to plug in and stuff just not sure how to find the derivative of h(x)

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm assuming you have learned about the chain rule?

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

    would it be g'[f(3x)](f'(3x)) ?

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

    yes i have just not sure about its specifics , would i have to do a double chain rule here because of the f'(3x)?

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    very close

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you forgot about the inner most part 3x you derive that to get 3

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you should get h ' (x) = g ' [f(3x)]*f ' (3x)*3

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

    got it! :D thank you very much :D

  10. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what result did you get?

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you should get a single numeric answer

  12. 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.