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

darkmare Group Title

Find an equation of the tangent line to the bullet-nose curve y=|x|/sqrt(2−x^2) at the point (1,1) I think that square root is what is confusing me on this question

  • 2 years ago
  • 2 years ago

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

    Since x>0, then |x|=x

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

    You need to use quotient rule + chain rule + product rule + constant rule

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

    \[\sqrt{2-x^2}=(2-x^2)^\frac{1}{2}\] \[[[(2-x^2)]^\frac{1}{2}]'=\frac{1}{2}(2-x^2)^{\frac{1}{2}-1}(2-x^2)' \text{ note: I applied chain rule here}\]

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

    do i then need to apply the quotient rule using the absolute value of x?

    • 2 years ago
  5. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[y=|x|*(2−x^2)^{-1/2} \] \[D[y=|x|*(2−x^2)^{-1/2}] \] \[D[y]=D[|x|*(2−x^2)^{-1/2}] \] \[D[y]=D[|x|]*(2−x^2)^{-1/2}+|x|*D[(2−x^2)^{-1/2}] \] \[y'=\frac{x}{|x|}(2−x^2)^{-1/2}+\frac122x|x|(2−x^2)^{-3/2} \] \[y'=\frac{x}{|x|}(2−x^2)^{-1/2}+x|x|(2−x^2)^{-3/2} \] see if i worked that out correctly :)

    • 2 years ago
  6. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    quotient rule is often times a pain; it tends to be easier to turn up the denominator and just run thru the product rule

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

    Thank you! that gives the slope I need to find my equation :)

    • 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.