Results 1 to 6 of 6

Math Help - anyone know how to solve this differentiation?

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    malaysia
    Posts
    5

    anyone know how to solve this differentiation?

    One of this project is to design GSP project. You are given a task involving graph polynomials. f (x) = 〖2x〗 ^ 6 + 〖3x〗 〖3x ^ 5 + ^ 3〗 - 〖2x〗 ^ 2. Your graph should include the following:

    Use the graph of f 'and f'' to estimate the maximum and minimum points.
    Hard copy the graph to be submitted.
    Calculus involved in determining the maximum and minimum points to be discussed。
    -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
    Salah satu aktiviti dalam projek ini adalah untuk merancang projek GSP. Anda diberi satu tugas melibatkan graf polynomial. f(x)=〖2x〗^6+〖3x〗^5+〖3x〗^3-〖2x〗^2. Graf anda haruslah disertakan dengan yang berikut :

    Gunakan graf f dan f untuk membuat anggaran titik maksima dan minima.
    Hard copy graf hendaklah dikemukakan.
    Kalkulus yang terlibat dalam menentukan titik maksima dan minima haruslah dibincangkan
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,589
    Thanks
    1445

    Re: anyone know how to solve this differentiation?

    GSP? Like Geometer's Sketchpad?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    54

    Re: anyone know how to solve this differentiation?

    To see what's going on you need to plot f, f', f'' for -.6<x<.6

    f'(-.49454)=0 is a min point f(-.49454)=-4.36124

    Can't yet paste the graph into message!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Aug 2012
    From
    malaysia
    Posts
    5

    Re: anyone know how to solve this differentiation?

    yes..GSP=GEOMETRI SKETCH PAD.. ^^
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2012
    From
    malaysia
    Posts
    5

    Re: anyone know how to solve this differentiation?

    HOW about send to my mailbox?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    54

    Cool Re: anyone know how to solve this differentiation?

    Your incorrect f(x):

    f (x) = 〖2x〗 ^ 6 + 〖3x〗 〖3x ^ 5 + ^ 3〗 - 〖2x〗 ^ 2. [=Incorrect]

    Your correct f(x):

    f(x)=〖2x〗^6+〖3x〗^5+〖3x〗^3-〖2x〗^2.

    Based on the correct f(x) we have:

    f(-3.8268) = 0

    f'(-3.18549) = 0 => min point: f(-3.18549) = -13747.8

    f'(0) = 0 => next min point f(0) = 0. double root

    f'(0.0881902) = 0 => f(0.0881902) = -0.0112643

    also:

    f(0.128435) = 0


    f(x) = blue graph
    f'(x) = red graph
    f''(x) = yellow graph

    f(x) = 0 roots:
    \{x\to -3.8268\},\{x\to -0.0492561+0.35318 i\},\{x\to -0.0492561-0.35318 i\},\{x\to 0.\},\{x\to 0.\},\{x\to 0.128435\}

    f'(x)=0 root:
    \{\{x\to -3.18549\},\{x\to -0.0333791-0.270267 i\},\{x\to -0.0333791+0.270267 i\},\{x\to 0.\},\{x\to 0.0881902\}\}

    f''(x) = 0 roots:
    \{\{x\to -2.54453\},\{x\to -0.0165289-0.187247 i\},\{x\to -0.0165289+0.187247 i\},\{x\to 0.0463423\}\}
    Attached Thumbnails Attached Thumbnails anyone know how to solve this differentiation&#65311;-f-x-.png  
    Last edited by MaxJasper; August 16th 2012 at 07:49 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: August 15th 2012, 06:17 PM
  2. Replies: 2
    Last Post: July 26th 2010, 05:24 PM
  3. Differentiation and partial differentiation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 30th 2010, 10:16 PM
  4. Differentiation and Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 6th 2009, 04:07 AM
  5. Using differentiation to solve problems
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 12th 2006, 01:27 PM

Search Tags


/mathhelpforum @mathhelpforum