Results 1 to 2 of 2

Math Help - find the Derivative

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    31

    find the Derivative

    Find the derivative
    g(x)=2*11^(-x)

    would you move 11^(-x) to the denominator and use product rule?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by bluejewballs View Post
    Find the derivative
    g(x)=2*11^(-x)

    would you move 11^(-x) to the denominator and use product rule?
    I'll do the general case:

    Let y = a^{kx}.

    Then \ln y = \ln a^{kx} = kx \ln a \Rightarrow y = e^{(k \ln a) x}.

    Therefore \frac{dy}{dx} = (k \ln a) \, e^{(k \ln a) x} = (k \ln a) \, y = (k \ln a) \, a^{kx}.

    Key result: If y = a^{kx} then \frac{dy}{dx} = (k \ln a) \, a^{kx}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find derivative.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 11th 2010, 07:46 AM
  2. Find the derivative of: (1-x)*ln(1-x)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 29th 2009, 08:35 AM
  3. find derivative
    Posted in the Calculus Forum
    Replies: 8
    Last Post: August 10th 2009, 10:36 AM
  4. find the second derivative of...
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 16th 2009, 07:06 PM
  5. Find derivative!
    Posted in the Calculus Forum
    Replies: 13
    Last Post: November 13th 2008, 10:42 AM

Search Tags


/mathhelpforum @mathhelpforum