Results 1 to 3 of 3

Math Help - Implicit Differentiation

  1. #1
    Member
    Joined
    Jul 2007
    Posts
    75

    Implicit Differentiation

    Find dydx in terms of x and y if arcsin((x^5)(y))=(x)(y^5)

    I tried to do this problem, and I got (y^5((1-(x^5y)^2))^(1/2)-(5yx^4))/(x^5-5xy^4(((1-x^5y)^2))^(1/2)), which is incorrect.

    Help, please???
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by iheartthemusic29 View Post
    Find dydx in terms of x and y if arcsin((x^5)(y))=(x)(y^5)

    I tried to do this problem, and I got (y^5((1-(x^5y)^2))^(1/2)-(5yx^4))/(x^5-5xy^4(((1-x^5y)^2))^(1/2)), which is incorrect.

    Help, please???

    I supose you mean to find dy/dx in...etc.

    Arcsin\, (x^5y)=xy^5 \Longrightarrow \frac{5x^4y}{\sqrt{1-x^{10}y^2}}\,dx+\frac{x^5}{\sqrt{1-x^{10}y^2}}\,dy=y^5\,dx+5xy^4\,dy

    I bet you'll be able to continue from here.

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jul 2007
    Posts
    75
    Yeah, I got it. I actually had the right answer. It was an online assignment, and I put one parenthesis in the wrong spot when I was entering it, thus changing the entire answer. Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: July 26th 2010, 06:24 PM
  2. implicit differentiation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 1st 2010, 08:42 AM
  3. Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 28th 2010, 04:19 PM
  4. Implicit differentiation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 26th 2010, 06:41 PM
  5. Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 25th 2008, 08:33 PM

Search Tags


/mathhelpforum @mathhelpforum