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

Derivative using chain rule

  1. Apr 8, 2008 #1
    I am trying to find the first and second derivative using the chain rule of the following:

    u sin(x^2)

    This is what I have but I don't think it is correct. Can someone pls let me know?

    first derivative: u * 2x cos(x^2) + sin(x^2) u'

    second derivative:
    u * 2( x * -2sin(x^2) + cos(x^2)) + 2xcos(x^2)* u' + sin(x^2)*u" + u'* 2xcos(x^2)

    Any help thanks
  2. jcsd
  3. Apr 8, 2008 #2
    If u is a function of x and you are differentiating with respect to x, then it looks correct to me.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook