Results 1 to 4 of 4

Math Help - derivative of the function y=e^x

  1. #1
    Junior Member
    Joined
    Mar 2010
    Posts
    56

    derivative of the function y=e^x

    f(x)= (e^x +1)^2
    I am not sure how to find the derivative of this one!
    Do I (e^x +1)(e^x +1)?
    Thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Dec 2010
    Posts
    470
    Use the chain rule.

    du^2/dx = 2u du/dx

    Where u = e^x + 1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Bar0n janvdl's Avatar
    Joined
    Apr 2007
    From
    South Africa
    Posts
    1,630
    Thanks
    6
    Quote Originally Posted by advancedfunctions2010 View Post
    f(x)= (e^x +1)^2
    I am not sure how to find the derivative of this one!
    Do I (e^x +1)(e^x +1)?
    Thanks in advance!
    f(x) = (e^x + 1)(e^x + 1)

    f'(x) = (e^x)(e^x + 1) + (e^x + 1)(e^x) = 2e^{2x} + 2e^x

    Or I suppose you could have said:

    f(x) = e^{2x} + 2e^x + 1

    f'(x) = 2e^{2x} + 2e^x + 0 = 2e^{2x} + 2e^x
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,398
    Thanks
    1327
    Or simply use the chain rule as snowtea suggested:
    f'(x)= 2(e^x+ 1)(e^x+1)'= 2(e^x+ 1)(e^x)= 2e^{2x}+ 2e^x
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. can u fin the derivative of this function
    Posted in the Calculus Forum
    Replies: 8
    Last Post: January 24th 2010, 06:15 AM
  2. function odd derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 7th 2008, 11:34 PM
  3. the derivative function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 15th 2008, 02:00 PM
  4. derivative of a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 14th 2008, 07:52 PM
  5. The Derivative Function
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 11th 2008, 06:23 PM

Search Tags


/mathhelpforum @mathhelpforum