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calyne

Find y'' by implicit differentiation: 9x^2+y^2 = 9

  • 2 years ago
  • 2 years ago

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  1. robtobey
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    http://www.youtube.com/watch?v=X0aw9-kXfY4

    • 2 years ago
  2. Dockworker
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    messed up the quotient rule...sigh

    • 2 years ago
  3. calyne
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    ...

    • 2 years ago
  4. eigenschmeigen
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    \[9x^2 +y^2 =9 \] \[\text{ } 18x +2y(dy/dx) = 0\] \[dy/dx=-(18x/2y)\] \[18 +2(dy/dx) + 2y(d^2y/dx^2) =0 \] \[d^2y/dx^2 = -(18 + 2(dy/dx))/2y\] now sub in dy/dx \[d^2y/dx^2 = -(18 - 2(18x/2y))/2y = 36(x - y)/(2y)^2\]

    • 2 years ago
  5. eigenschmeigen
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    no need for the quotient rule with that method

    • 2 years ago
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