Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: The 1st and 2nd derivative

  1. Jul 29, 2007 #1
    find the 1st and 2nd derivative of the following equation

    step by step.
    Thanks alot!
  2. jcsd
  3. Jul 29, 2007 #2


    User Avatar
    Homework Helper

    Any ideas on this one? if this is a function of z, and you're differentiating with respect to z, does the product rule sound familiar?
  4. Jul 29, 2007 #3
    Ok, I get it
    it is -2Z (-2z)e^-(z^2) - [e^-(z^2)*(-2)]
    and then:
    4z^2 * e^-(z^2) + 2e^-(z^2)
    Thanks alot!!!!
  5. Jul 29, 2007 #4


    User Avatar
    Science Advisor
    Homework Helper

    Yep, that's the way to go.
    But are you sure about that minus sign?
    Can you quote the product rule?
  6. Jul 29, 2007 #5
    Oh, I am so sorry it is
    -2Z (-2z)e^-(z^2)+ [e^-(z^2)*(-2)]
    So, we will have
  7. Jul 29, 2007 #6
    that looks right. Remember, (first) *(derivative of the second) + (second) * (derivative of first). Of course you can change the order, same answer.
  8. Jul 29, 2007 #7
    thanks alot for all!!!!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook