A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

I am asked to differentiate the function y=\[\cot^{2}(\sin (x))\]. Can anyone provide a step by step tutorial? I am having difficulties with applying the chain rule. If possible avoid using Liebniz notation. Thank you!

  • This Question is Closed
  1. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[f(x)=x^2\]\[g(x)=\cot x\]\[h(x)=\sin x\]\[D_x(f\circ g\circ h)(x)=(f'\circ g\circ h)(x)\cdot(g'\circ h)(x)\cdot h'(x)\]\[=2\cot(\sin(x))\cdot(-\csc^2(\sin x))\cdot\cos x\]

  2. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    any particular part of that giving you trouble?

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

    where did you get \[-\csc ^{2}x \sin x\] from

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

    ok i got it now

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

    no thank you very much. i've spent way too much time trying to figure this out!

  6. 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.