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Math Help - Tangents using implicit differentiation

  1. #1
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    Lightbulb Tangents using implicit differentiation

    The curve x^2 - y^2 = 1 is a hyperbola. Use implicit differentiation to show that for large x and y values, the slope dy/dx of the curve is approximately 1.

    2x - 2y dy/dx = 0
    dy/dx = x/y

    Now, how do I show that for large x and y values, slope is ~1??
    Please help!
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  2. #2
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    Quote Originally Posted by ninja View Post
    The curve x^2 - y^2 = 1 is a hyperbola. Use implicit differentiation to show that for large x and y values, the slope dy/dx of the curve is approximately 1.

    2x - 2y dy/dx = 0
    dy/dx = x/y

    Now, how do I show that for large x and y values, slope is ~1??
    Please help!
    You really should learn Latex to make your life easier

    Anyway, good job so far. Now try solving for one variable from your initial hyperbola equation and plug it into your derivative.
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