A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

what is the equation of the tangent line to y= e^4x + tan-1 (x) at x=0

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    tangent line = derivative at the point for slope, then just use the point. So derivative of this is 4e^(4x)+1/(x^2+1). At x=0 it is 4+1=5. The point is then (0,0). So use y-y1=m(x-x1) to get y-0=5(x-0), or y=5.

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

    the point is (0,1) that we are trying to find the tangent line

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

    Point is actually (0,1), so line is y-1=5(x-0)

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

    gj mark

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

    I didn't know what the y point was how do you find it?

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

    Plug in x=0 into the original equation

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

    So is e^4x 1 then? Thats what I'm confused about

  8. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    e^(0)=1

  9. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just like 5^(0)=1 and 2^(0)=1

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

    Ooh ok thanks

  11. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if tan^(-1)(0)=s then tan(s)=0 what value of s betweeen -pi/2 and pi/2 makes this expressions true

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

    Ok got it now... thanks so much

  13. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    np

  14. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when i said expression i mean equation lol

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

    yea gotcha

  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.