Results 1 to 2 of 2

Math Help - Function of two variables

  1. #1
    Member
    Joined
    Oct 2007
    Posts
    159

    Function of two variables

    I am given that we are to let F(u,v) be a function of two variables. I am asked to find f' (x)
    for;

    f(x) = F(x,3) and f(x) = F(x,x)

    I have not a single idea on what I am suppose to do. Can someone tell me? Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,347
    Thanks
    30
    Quote Originally Posted by Frostking View Post
    I am given that we are to let F(u,v) be a function of two variables. I am asked to find f' (x)
    for;

    f(x) = F(x,3) and f(x) = F(x,x)

    I have not a single idea on what I am suppose to do. Can someone tell me? Thanks!
    In the first one it f' = F_u(x,3), (you just substituted in for v), the second f' = F_u(x,x) + F_v(x,x).

    Here's an example. Consider the function

    F(u,v) = u^3 \sin v so f = x^3 \sin x and f' = \underbrace{3 x^2 \sin x}_{F_u(x,x)} + \underbrace{x^3 \cos x}_{F_v(x,x)}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A max function of 2 variables max(a,b)
    Posted in the Number Theory Forum
    Replies: 7
    Last Post: September 27th 2011, 05:05 PM
  2. Replies: 3
    Last Post: February 18th 2011, 02:27 AM
  3. Domain of a function in two variables
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 24th 2009, 03:40 AM
  4. Function in two variables - continuity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 21st 2009, 10:45 PM
  5. Limit of a 2 variables function
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 14th 2009, 07:05 AM

Search Tags


/mathhelpforum @mathhelpforum