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 October 16th, 2010, 06:30 AM #1 Newbie   Joined: Oct 2010 Posts: 14 Thanks: 0 Derivative problem I've never been good with math . Here is the question: There is a polynomial with many(infinite) terms which corresponds exactly this function y=e^x. Guided by this particular function is its own derivative, try to solve the five first terms in this polynomial. Guidence: the first term is 1. I've no idea , thank you. October 16th, 2010, 07:29 AM   #2
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Re: Derivative problem

Hello, azelio!

Quote:
 There is a polynomial with infinite terms which corresponds exactly to:[color=beige] .[/color] This particular function is its own derivative. Guided by this fact, find the five first terms of this polynomial. Hint: the first term is 1.

[color=beige]. . [/color] October 17th, 2010, 05:24 PM #3 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Derivative problem Quite interesting... the Maclaurin expansions for sin(x) and cos(x) can be derived similarly by using: y = -y'' and for sin(x) begin the polynomial with x, and for cos(x) begin with 1.  Tags derivative, problem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post KMT Calculus 1 September 25th, 2011 06:55 PM dagitt Calculus 3 January 5th, 2010 08:30 PM dagitt Calculus 1 January 2nd, 2010 04:17 PM tomotomo Calculus 3 February 16th, 2009 04:18 PM StevenMx Calculus 6 February 4th, 2009 07:14 AM

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