Results 1 to 4 of 4

Math Help - partial derivative

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    7

    Smile partial derivative

    What is the partial derivative with respect to x of

    arctan(x/y)?

    I know the derivative of arctan(x) is 1/(1-(x.x))
    does this help?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2008
    From
    France
    Posts
    1,458
    Quote Originally Posted by syster View Post
    What is the partial derivative with respect to x of

    arctan(x/y)?

    I know the derivative of arctan(x) is 1/(1-(x.x))
    does this help?
    Hi

    Just consider y as a constant
    BTW the derivative of arctan(x) is 1/(1+x)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Yes it helps
    Quote Originally Posted by syster View Post
    What is the partial derivative with respect to x of

    arctan(x/y)?

    I know the derivative of arctan(x) is 1/(1+(x.x))
    does this help?
    Apply the chain rule of differentiation.

    We know that [u(v(x))]'=v'(x) u'(v(x))

    Here, u=arctan and v(x)=x/y

    so the derivative of arctan(x/y)=(1/y)/(1+(x/y)^2)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Feb 2009
    Posts
    7

    Talking cheers

    thanks
    mistake with the minus instead to the plus just hit the wrong button
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative of arctan in a partial derivative
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 12th 2010, 01:52 PM
  2. how do you take this partial derivative
    Posted in the Calculus Forum
    Replies: 10
    Last Post: July 26th 2009, 07:09 PM
  3. Partial derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 16th 2009, 11:21 AM
  4. Partial derivative please help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 11th 2008, 11:56 PM
  5. partial derivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 7th 2008, 12:34 PM

Search Tags


/mathhelpforum @mathhelpforum