Results 1 to 2 of 2

Math Help - Calculating gradient

  1. #1
    Newbie
    Joined
    Sep 2010
    Posts
    12

    Calculating gradient

    Need to calculate the gradient of the following function:
    <br />
f(x,y) = x^2 + 2y^2 + 2\sin (2\pi x)\sin (2\pi y)<br />

    Here's what I got:

    <br />
\nabla f(x,y) = 2x + 2y + 4\pi [\sin (2\pi x)\sin (2\pi y) \cos (2\pi x) \cos (2\pi y)]<br />

    But being as this is my first time doing gradient calculations (need it for a course and I never took calculus 3, so this is self taught) I want to make sure it's right before I move on. Can someone double check for me?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    \displaystyle \nabla f(x,y)=(2x+4\pi cos(2\pi x)sin(2\pi y))i+(2+4\pi sin(2\pi x)cos(2\pi y))j
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. gradient
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 30th 2009, 02:43 AM
  2. Gradient
    Posted in the Geometry Forum
    Replies: 3
    Last Post: June 18th 2008, 12:58 AM
  3. gradient
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 11th 2008, 11:43 AM
  4. gradient
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 27th 2008, 11:36 PM
  5. Calculating intercept and gradient
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 11th 2008, 08:04 AM

Search Tags


/mathhelpforum @mathhelpforum