Results 1 to 2 of 2

Math Help - derivative of e^(cost + lnt)

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    124

    Post derivative of e^(cost + lnt)

    y= e^(cost + lnt)

    then i tired:
    y= e^cost - e^lnt
    lny=lne^cost- lne^lnt
    (where lne crosses out)
    lny=cost-lnt
    1/y y' =-sint - 1/t
    y' = e^cost- e^lnt (-sint - 1/t)

    but the answer is: e^cost (1- tsint)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jul 2009
    Posts
    397
    Quote Originally Posted by genlovesmusic09 View Post
    y= e^(cost + lnt)

    then i tired:
    y= e^cost - e^lnt ---------> this is wrong
    y= e^(cost + lnt) = e^(cos t) * e^(ln t)

    Do you know what e^(ln t) equals to ? Then you can use the prroduct rule for derivative.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: October 5th 2010, 09:11 AM
  2. Process cost systems,total cost under the FIFO Method.
    Posted in the Business Math Forum
    Replies: 0
    Last Post: December 4th 2009, 11:13 PM
  3. Marginal Cost/Demand and Cost
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 4th 2009, 06:45 PM
  4. Replies: 3
    Last Post: March 6th 2009, 07:53 AM
  5. Derivative help for cost model
    Posted in the Calculus Forum
    Replies: 5
    Last Post: June 3rd 2008, 03:41 PM

Search Tags


/mathhelpforum @mathhelpforum