Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

levinotik Group Title

So, in the very first lecture (at the beginning), the professor has "find the tangent line to y = f(x) at P = (x0, y0). Can someone explain what this means exactly?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    kk wait for about five minutes...I tried to draw it here ! but I couldn't

    • 2 years ago
  2. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hehe, thanks.

    • 2 years ago
  3. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    see now...!

    • 2 years ago
    1 Attachment
  4. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks neemo, so we're trying to solve for that point that coincided with the curve there?

    • 2 years ago
  5. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i guess what i dont get is what does y = f(x) mean here

    • 2 years ago
  6. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    exactly ! y=f(x) is an equation that "describes" the curve...

    • 2 years ago
  7. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so theres the graph itself and the tangent line and we're trying to find a specific point on that tangent line?

    • 2 years ago
  8. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    also, does y = f(x) just mean that we can solve for y by applying some function to x?

    • 2 years ago
  9. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    cuz if i remember my basic algebra, i think we need the slope also, no? or is that assuming the function is providing those details?

    • 2 years ago
  10. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    like f(x) = mx+b?

    • 2 years ago
  11. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    didn't get what you want to say ! x define y ...by y=f(x)....so sorry ; I didn't understand :( !

    • 2 years ago
  12. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, sorry. think i overcomplicated it. the equation/notation makes sense to me, it just says find the y for the tangent line that hits the curve that has a point of x0, y0

    • 2 years ago
  13. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is that accurate?

    • 2 years ago
  14. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    then; Y0=f(x0) or the point doesn't belong to the curve !

    • 2 years ago
  15. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    kk now ! I understand ! yeaaah it's true...just notations...finding y=ax+b for the tangent line ! what I gave you ! It satisfies you !

    • 2 years ago
  16. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So to summarize, it's asking to get the y for the tangent line that touches a curve with points (x0, y0)? Is that accurate?

    • 2 years ago
  17. Neemo Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes! it is !

    • 2 years ago
  18. JingleBells Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I hope I'm not butting in but you should try watching Highlights of Calculus with Prof Strang, I found it very useful for myself anyway: http://ocw.mit.edu/high-school/

    • 2 years ago
  19. levinotik Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @JingleBells, if you are butting in (which i dont think you are) then I'm glad you did! I happened to already be in the middle of reading Strang's book so this is fantastic! Thanks a lot!

    • 2 years ago
  20. JingleBells Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm glad to be of help. I think Prof Strang is fantastic: he describes \[\Delta y/ \Delta x\]as 'short/short' and dy/dx as 'darn short/darn short'

    • 2 years ago
  21. Luvgunn Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Hopefully it makes sense now that the proffesor was trying to tell us that derivatives or limits are the slope we need to find first for a given equation to solve or find the equation of a tangent line. Hope that makes sense?

    • 2 years ago
    • Attachments:

See more questions >>>

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.