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How do you find the original function given the equation of a tangent line and two points?

  • Calculus -

    No way to tell, unless you know you are working with something simple, like a quadratic. If

    y = ax^2+bx+c

    and you have two points, then you also have

    2ax+b = slope of the tangent line

    Then you have three equations to solve for a,b,c.

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