Results 1 to 3 of 3

Math Help - Caculate Dervitiv Using Exponential Series?

  1. #1
    Member zangestu888's Avatar
    Joined
    Jan 2009
    Posts
    91

    Caculate Dervitiv Using Exponential Series?

    Let f(x) = e^x^3
    Calculate the 9th derivative f (9)(0) using the exponential
    series and Taylor's formula.
    Kay am not sure if idid this correect but the series for e^x is

    infinte series n=0 to infinty x^n/n! do i just plug in the equation and solve i know its zero but how??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,045
    Thanks
    886
    Quote Originally Posted by zangestu888 View Post
    Let f(x) = e^x^3
    Calculate the 9th derivative f (9)(0) using the exponential
    series and Taylor's formula.
    Kay am not sure if idid this correect but the series for e^x is

    infinte series n=0 to infinty x^n/n! do i just plug in the equation and solve i know its zero but how??
    zero, huh?

    e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + ...

    e^{x^3} = 1 + x^3 + \frac{x^6}{2!} + \frac{x^9}{3!} + ...
    ...

    after 9 derivatives, the third term will be a constant equal to

    \frac{9!}{3!} = 60480.

    every subsequent term will have factors of x (which will become 0 when evaluating the 9th derivative at x = 0)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member zangestu888's Avatar
    Joined
    Jan 2009
    Posts
    91
    Can you please explain what you did? is thier like a shorcut to finding it using the exponential series and Taylor formula
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Series and Exponential Growth
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 3rd 2010, 03:11 PM
  2. Exponential Taylor Series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 19th 2010, 02:25 PM
  3. Caculate implied strike price
    Posted in the Business Math Forum
    Replies: 0
    Last Post: December 18th 2009, 04:33 AM
  4. Replies: 2
    Last Post: September 24th 2009, 12:46 AM
  5. Exponential Fourier-series expansion
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 23rd 2009, 07:48 PM

Search Tags


/mathhelpforum @mathhelpforum