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Math Help - Rational Function

  1. #1
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    Rational Function

    y=\frac{-x^2+ax}{x-2b}, find the range of values of b for which the graph of y=f(x) has two turning points.

    I am able to solve it by finding dy/dx and make sure that dy/dx has roots.

    My question is this,

    Is there any other way to solve this without using differentiation?

    Please enlighten me...thank you!
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  2. #2
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    I don't believe so.
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