Results 1 to 3 of 3

Math Help - Differentiation Problem

  1. #1
    Member
    Joined
    Feb 2010
    Posts
    76

    Differentiation Problem

    I have an engineering application, that amounts to a differentiation problem that has me stumped.

    If q=\frac{1}{\alpha^2}-(\frac{t}{\alpha}+\frac{1}{\alpha^2})e^{-\alpha t}

    Find \frac{dq}{dt}.

    I came up with -\frac{t}{e^{\alpha t}} and several other versions, but I know that I'm off.

    Can anyone put me on track?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Quote Originally Posted by kaiser0792 View Post
    I have an engineering application, that amounts to a differentiation problem that has me stumped.

    If q=\frac{1}{\alpha^2}-(\frac{t}{\alpha}+\frac{1}{\alpha^2})e^{-\alpha t}

    Find \frac{dq}{dt}.

    I came up with -\frac{t}{e^{\alpha t}} and several other versions, but I know that I'm off.

    Can anyone put me on track?

    I get te^{-\alpha t}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jan 2010
    Posts
    354
    q=\frac{1}{\alpha^2}-\left(\frac{t}{\alpha}+\frac{1}{\alpha^2}\right)e^  {-\alpha t}

    \frac{dq}{dt} = -\left(\frac{t}{\alpha}+\frac{1}{\alpha^2}\right) \left( -\alpha e^{-\alpha t} \right) - \frac{1}{\alpha} e^{-\alpha t}

    = t e^{-\alpha t} + \frac{1}{\alpha} e^{-\alpha t} - \frac{1}{\alpha} e^{-\alpha t}

    = t e^{-\alpha t}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. differentiation problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 21st 2011, 02:43 AM
  2. Differentiation Problem
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 31st 2010, 04:48 PM
  3. Problem (Differentiation)
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: April 17th 2009, 11:17 PM
  4. Differentiation problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 14th 2009, 02:50 PM
  5. Differentiation problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 8th 2008, 01:38 PM

Search Tags


/mathhelpforum @mathhelpforum