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

burhan101

Derivative of tanx²

  • 10 months ago
  • 10 months ago

  • This Question is Closed
  1. burhan101
    Best Response
    You've already chosen the best response.
    Medals 0

    But i dont get how its chain rule

    • 10 months ago
  2. burhan101
    Best Response
    You've already chosen the best response.
    Medals 0

    its tanx² not (tanx)² :S

    • 10 months ago
  3. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    The chain rule can be applied to composites of more than two functions. consider : \[y = \tan (x ^{2})\] as: \[y = f(u) = \tan (u)\] and \[u = g(x) = x ^{2}\]

    • 10 months ago
  4. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    ooo shiny, cheers

    • 10 months ago
  5. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    so first of all, how are your derivative skills? whats the derivative of g(x) above...?

    • 10 months ago
  6. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    @burhan101 ... whats the derivative of u... ? (thats the g(x) one)...

    • 10 months ago
  7. burhan101
    Best Response
    You've already chosen the best response.
    Medals 0

    2u

    • 10 months ago
  8. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah, pretty much... but in this case u refers to the function g(x) which is x^2 is derivative of u = 2x... not 2u, you got the right idea tho ;)

    • 10 months ago
  9. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    cool, next we do the derivative of tan (u) (answwer in this case will contain a U)

    • 10 months ago
  10. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    so derivative of f(u) =...?

    • 10 months ago
  11. Jack1
    Best Response
    You've already chosen the best response.
    Medals 2

    k, if u come back, its a chain rule problem, so: differentiate x^2 (2x) then differentiate tan x^2 (derivative of tan = sec^2) and multiply your results \[y' = 2x \times \sec ^{2}(x ^{2})\]

    • 10 months 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.