Results 1 to 2 of 2

Math Help - how to take the derivative of e to a polynomial

  1. #1
    Senior Member
    Joined
    May 2012
    From
    Toronto
    Posts
    258
    Thanks
    1

    how to take the derivative of e to a polynomial

    My objective is to take the derivative of this expression

    how to take the derivative of e to a polynomial-screen-shot-2012-10-24-1.44.46-am.png


    and evaluate it at 0, so I want f'(0) and I think I can do that using the quotient rule and the chain rule once I know how to take the derivative of the first term e^(x^2+1)

    can I do this?:

    using the power rule I could get 2x*e^(x^2+1)
    Last edited by kingsolomonsgrave; October 23rd 2012 at 10:55 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,908
    Thanks
    766

    Re: how to take the derivative of e to a polynomial

    Hello, kingsolomonsgrave!


    Recall this formula:

    . . If y \:=\:e^u, then y' \;=\;e^uu'


    Therefore, the derivative of e^{x^2+1} is: . e^{x^2+1}\cdot2x \;=\;2xe^{x^2+1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Zeroes of a Polynomial (and its Derivative)
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: January 23rd 2011, 07:41 PM
  2. Polynomial derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 2nd 2010, 12:55 PM
  3. Polynomial Derivative
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 4th 2010, 05:16 AM
  4. Roots of the Derivative of a Polynomial
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: January 12th 2010, 10:01 PM
  5. Polynomial and derivative problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 21st 2007, 10:56 PM

Search Tags


/mathhelpforum @mathhelpforum