Results 1 to 5 of 5

Math Help - derivative

  1. #1
    Member
    Joined
    Nov 2007
    Posts
    112

    derivative

    ok i just need to know if i have the right derivative for this function

    e^(2t)

    would the correct derivative be

    2e^(2t)?

    thanks

    mathlete
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Aryth's Avatar
    Joined
    Feb 2007
    From
    USA
    Posts
    652
    Thanks
    2
    Awards
    1
    It's just using the chain rule:

    We know that:

    \frac{dy}{dx}[e^t] = e^t

    Say u equals some function of t (that is differentiable, of course):

    u = f(t)

    Then:

    \frac{dy}{dx}[e^u] = u'e^u

    \frac{dy}{dx}[e^{2t}] = [2t]'e^{2t}

    [2t]'e^{2t} = 2e^{2t}

    So yes, you are correct.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2006
    Posts
    3

    sample equation

    sample:

    y=e^5x
    y= (5x)'(e^(5x))
    y'= 5 (e^(5x))

    solution:

    y = e^(2t)

    y = (2t)'(e^2t)

    y = 2e^2t
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    That's correct. You use the chain rule.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    I love the quick, detailed, and numerous responses that MHF provides!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. contuous weak derivative $\Rightarrow$ classic derivative ?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: April 22nd 2011, 02:37 AM
  2. Replies: 0
    Last Post: January 24th 2011, 11:40 AM
  3. Replies: 2
    Last Post: November 6th 2009, 02:51 PM
  4. Replies: 1
    Last Post: January 7th 2009, 01:59 PM
  5. Fréchet derivative and Gâteaux derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 23rd 2008, 04:40 PM

Search Tags


/mathhelpforum @mathhelpforum