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Implicit differentiation

  1. Apr 1, 2013 #1
    1. The problem statement, all variables and given/known data
    For the curve x2+3xy+y2 = 5

    show that [itex]\frac{dy}{dx} =- \frac{2x+3y}{3x+2y}[/itex]


    2. Relevant equations

    N.A.

    3. The attempt at a solution
    2x + 3xy + 2y[itex]\frac{dy}{dx}[/itex] = 0

    3x + 2y [itex]\frac{dy}{dx}[/itex] = -2x+ 3y

    ∴ [itex]\frac{dy}{dx} =- \frac{2x+3y}{3x+2y}[/itex]

    have I done this correctly?
     
  2. jcsd
  3. Apr 1, 2013 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    No. You forgot to differentiate 3xy, or you forgot to write it out, and there are other problems with parentheses.

    ehild
     
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