A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find the slope-intercept equation of the tangent line to the graph of y=1/x^3 when x = ½.

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

    hi :) what have you tried?? slope of tangent at a point = derivative of the equation at that point!

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

    \[ y = x^{-3} \] find dy/dx and evaluate at x=1/2 to get the slope then find the tangent point i.e. (x,y) on the curve y= x^-3 when x=1/2 you can write \[ y - y_0 = m(x-x_0) \] and then rewrite in the form y = mx +b

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

    y = -48x+32? am I right? :) so sorry that i was unable to respond awhile ago my internet was malfunctioning :)))

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

    @hartnn @phi yeah and my answer was incorrect at first because my derivative is incorrect. Thank you guys :)

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

    oh and i thought it was raised to -8 :)))

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

    Yes, looks good. Here is a plot

    1 Attachment
  7. 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.