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

Lammy Group Title

find the equation of the tangent to the curve y=X^(x^2) - X^(Pi) where x=1 find the equation of the tangent to the curve y=X^(x^2) - X^(Pi) where x=1 @Mathematics

  • 3 years ago
  • 3 years ago

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

    Take log of y and then differentiate... (dy/dx) at x=1 will give the slope of the tangent...

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

    when you say dy/dx at x=1 do you mean to plug in 1 for all x after i get the derivative of the equation?

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

    exactly

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

    is the slop -10.6063

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

    you can also find y at x=1... Thus you know the slope and one point in the line which will help you to find the equation...

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

    what was your dy/dx

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

    http://www.wolframalpha.com/input/?i=derivative+x%5E%28x%5E2%29-x%5E%28%CF%80%29

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

    is it not (1-pi)?

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

    yes yes thats the slope right? then how do i find the y to plug in for point slope form

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

    you have the equation of the curve... put x=1 in it... that'll give you the point required...

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

    that is y=X^(x^2) - X^(Pi) at x=1

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

    = 0

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

    yep

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

    so you've got a point and the slope... go on...

    • 3 years ago
  15. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    can i leave it at y-0=1-pi(x-1)

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

    y-0=(1-pi)(x-1) don't forget the brackets...

    • 3 years ago
  17. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thats it?

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

    you may write it in the form y=mx+c if you like...

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

    y=-piX +X+pi-1

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

    y=(1-pi)x-(1-pi)

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

    thank you soo much!

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

    you're welcome...

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

    A piece of advice: you should've calculated the derivative by hand....

    • 3 years ago
  24. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yea thats the problem i dont know how to do that one

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

    do you want me to explain?

    • 3 years ago
  26. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes please

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

    In y=X^(x^2) - X^(Pi) the problem is with the first term... I believe that you know how to differentiate x^(pi)...

    • 3 years ago
  28. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yea

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

    let y=p-q where p=X^(x^2) and q=X^(Pi)

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

    taking log of p log(p)=x^2*log(x) then differentiate (1/p)dp/dx=x^2/x+2xlog(x) dp/dx=p[x+2xlog(x)] dp/dx=x^(x^2)*[x+2xlog(x)]

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

    y=dp/dx-dq/dx

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

    got it?

    • 3 years ago
  33. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (1/p)dp/dx=x^2/x+2xlog(x)

    • 3 years ago
  34. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so derivative of log(x) = 2xlog(x)

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

    nope... derivative of log(x) is 1/x

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

    p is the product of x^2 and log(x) so you've to use the product rule.

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

    \[d(x^2*\log(x))/dx=x^2*d(\log(x))/dx + \log(x)*d(x^2)/dx\]

    • 3 years ago
  38. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    where is the 1/p from? (1/p)dp/dx=x^2/x+2xlog(x)

    • 3 years ago
  39. Lammy Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    where did the x^2 go? dp/dx=p[x+2xlog(x)]

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

    x^2/x=x

    • 3 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.