Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

alben5k

  • 3 years ago

What is a good way to remember derivatives of certain functions for integration such as in session 40 recitation where we would have to know that the derivative of arctan y is y^2 + 1.

  • This Question is Closed
  1. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    practice.

  2. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    arctan(y) = x y = tan(x) <---- well come back to this Dy(y = tan(x)): 1 = sec^2(x) x' x' = 1/sec^2(x) sec^2 = tan^2+1 soooo x' = 1/(tan^2(x)+1); recall that tan(x) = y x' = 1/(y^2+1)

  3. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    [arctan(y)]' = 1/(y^2+1)

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

    I don't think it's much a good idea to just memorize every derivative,you could try and memorize the standard one and derive the rest when required.After sufficient practice you will see that you memory will converge to the right one almost instantly! Good luck! :)

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

    I think the better way to remember, is to do a lot of exercises, so you can think faster but also understand the meaning of the answers. It's not about memorizing

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

    find the integration and derivatives of such functions by yourself......... i'm sure you don't have to remember then

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

    TI-89 or TI-Nspire cx CAS calculator. That is all you'll ever need for doing the rarer trig derivatives ;-)

  8. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.