Results 1 to 3 of 3

Math Help - determining the equation of tangent line given ex^2x at x=1

  1. #1
    Member
    Joined
    May 2012
    From
    Toronto
    Posts
    228
    Thanks
    1

    determining the equation of tangent line given ex^2x at x=1

    the function is f(x)=xe^2x

    find equation of tangent line at x=1

    this is what I did

    f'(x)=x*(e^2x)*2 + e^2x

    f'(1)=3*e^2

    so the equation of tangent line is

     y=3x*e^2

    is this correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: determining the equation of tangent line given ex^2x at x=1

    First, a LaTeX tip: if your exponent contains more than 1 character, enclose it within braces, e.g., e^{2x}

    You have correctly found f'(1), now for the tangent line, you want to use the point-slope formula:

    y-f(1)=f'(1)(x-1)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    May 2012
    From
    Toronto
    Posts
    228
    Thanks
    1

    Re: determining the equation of tangent line given ex^2x at x=1

    test to see if I got the code right for TEX

    Quote Originally Posted by kingsolomonsgrave View Post
    the function is f(x)=xe^{2x}

    find equation of tangent line at x=1

    this is what I did

    f'(x)=x*(e^{2x})*2 + e^{2x}

    f'(1)=3*e^2

    so the equation of tangent line is

     y=3x*e^2

    is this correct?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: January 12th 2011, 02:38 PM
  2. Replies: 1
    Last Post: February 21st 2010, 04:47 PM
  3. help with equation of a tangent line!
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 1st 2009, 10:10 AM
  4. Equation of tangent line in 3d
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 16th 2009, 06:16 AM
  5. equation of tangent line
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 5th 2008, 10:21 PM

Search Tags


/mathhelpforum @mathhelpforum