Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

imagreencat

  • 3 years ago

Hey guys! I would just like to ask if my partial differentiating is correct. f(x,y)=xy (sin (4yx^2)) fyx = sin 4yx^2 + (8yx^2)(cos 4yx^2) + (12yx^2)(cos 4yx^2) - 32(x^4)(y^2)(sin 4yx^2) Thanks!

  • This Question is Closed
  1. ash2326
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You have differentiated with respect to x or y?

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

    Well, fyx. So I first diff with respect to y then with respect to x. :)

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

    it's the mixed derivative? let me check...

  4. ash2326
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok :)

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

    \[f_x=y\sin(4yx^2)+8x^2y^2\sin(4x^2y)\cos(4x^2y)\]I'm typing it out so we can all see if I make a mistake...

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

    Fy first. :) Then diff Fy with respect to x.

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

    the order shouldn't matter I don't think\[f_{xy}=\sin(4yx^2)+4yx^2\cos(4yx^2)+\frac{\partial}{\partial y}[8x^2y^2\sin(4x^2y)\cos(4x^2y)]\]

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

    Actually in some cases the order does not matter. But in others, it does. Anyway, thank you turing test! :)

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

    oh but I have a 16...

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

    I'll do it the other way on paper to see if that makes a diff

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

    ok I redid it the other way and got the same answer as you sorry for the confusion

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

    It's okay Turing Test. I'm sorry for taking some of your time. :))) But, thanks again. I appreciate your effort.

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

    no it's my fault for messing up the first time you're welcome

  14. 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.