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Math Help - Help with implicit differentiation

  1. #1
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    Help with implicit differentiation

    Hi there, I need help with the following problem:

    For the curve (x^2/25) - (y^2/36) = -1, find the equation of the tangent at the given point: (5√3, -12)

    I get stuck by the fractions here- any help finding the derivative and solving would be greatly appreciated Thank you!
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  2. #2
    Eater of Worlds
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    \frac{x^{2}}{25}-\frac{y^{2}}{36}=-1

    Differentiate:

    \frac{2}{25}x-\frac{1}{18}y\frac{dy}{dx}=0

    Solve for dy/dx:

    \frac{dy}{dx}=\frac{36x}{25y}

    Now, enter in your values and find the slope at that point. Then you can use

    y=mx+b.
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