Results 1 to 2 of 2

Math Help - differentiate

  1. #1
    Senior Member
    Joined
    Apr 2006
    Posts
    290

    differentiate

    Could someone please explain to me fully how to differentiate this

    -xcosx + sin x + C

    thanks Nat.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member ecMathGeek's Avatar
    Joined
    Mar 2007
    Posts
    436
    Quote Originally Posted by Natasha1 View Post
    Could someone please explain to me fully how to differentiate this

    -xcosx + sin x + C

    thanks Nat.
    Since this is a sum of terms, we can differentiate each term separately:

    The derivative of -xcosx uses the product rule: (uv)' = uv' + u'v
    -x(cosx)' + (-x)'cosx = xsinx - cosx

    The derivative of sinx is straightforward: (sinx)' = cosx
    The derivative of C is the derivative of a constant: (C)' = 0

    So
    (-xcosx + sinx + C)' = xsinx - cosx + cosx + 0 = xsinx
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. can you differentiate e^(x/(3+5x)) ?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 5th 2010, 02:52 PM
  2. differentiate tan^3[2x]
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 15th 2010, 05:07 AM
  3. differentiate
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 22nd 2010, 03:56 AM
  4. How do you differentiate e^xy?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 28th 2009, 09:57 AM
  5. Differentiate with e^x
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 9th 2008, 08:21 PM

Search Tags


/mathhelpforum @mathhelpforum