Results 1 to 4 of 4

Math Help - Quick Calculus Question

  1. #1
    Junior Member
    Joined
    Jan 2006
    From
    Oakland
    Posts
    55

    Exclamation Quick Calculus Question

    Find the dervative of 7x-6/y
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jun 2006
    From
    San Diego
    Posts
    101
    With respect to what?

    Are those both functions of some variable? Is y a function of x?
    I'll assume for now that they are both functions of t.

    Then \frac{d}{dt} \left( 7x - \frac{6}{y} \right) = 7 \cdot \frac{dx}{dt} + \frac{6}{y^2} \cdot \frac{dy}{dt}.

    I hope that's what you're after.
    Last edited by Soltras; November 13th 2006 at 05:49 AM. Reason: fix error :o
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2006
    From
    Oakland
    Posts
    55

    Exclamation

    Yes it is y is a function of x


    the equation is wrong it is: (7x-6)/(y)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,938
    Thanks
    338
    Awards
    1
    Quote Originally Posted by Nimmy View Post
    Yes it is y is a function of x


    the equation is wrong it is: (7x-6)/(y)
    Please use parenthesis!

    So this is implicit differentiation then?

    By the quotient rule:
    \frac{d}{dx} \frac{7x - 6}{y} = \frac{(7)y - (7x-6)y'}{y^2}

    = \frac{-7xy' + 6y' + 7y}{y^2}


    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: February 11th 2010, 07:09 AM
  2. quick question
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: November 20th 2009, 09:32 AM
  3. A couple of quick calculus questions...
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 18th 2009, 08:43 AM
  4. quick question, need bit of help
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 30th 2008, 12:45 PM
  5. Quick's quick question
    Posted in the Number Theory Forum
    Replies: 22
    Last Post: July 9th 2006, 04:38 PM

Search Tags


/mathhelpforum @mathhelpforum