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4 February, 07:40

If x^2+3y^2=8+2xy, then d^2y/dx^2 at (2,2) =

+2
Answers (1)
  1. 4 February, 09:14
    0
    We are given

    x² + 3y² = 8 + 2xy

    We are asked for

    d^2y/dx^2 at (2,2)

    Which is the second derivative of the expression in terms of x evaluated at (2,2)

    The expression can't be express explicitly in terms of x

    Doing implicit differentiation

    2x dx + 6y dy = 2y dx + 2 x dy

    Solving for dy/dx

    dy/dx = (2x - 2y) / (2x - 6y)

    Then,

    d^2y/dx^2 at (2,2) can now be determined
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