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Math Help - Optimization Question

  1. #1
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    Optimization Question

    Find the point in the first quadrant lying on the parabola y = 1 - x^2 such
    that the tangent line to the parabola at this point and the coordinate axes cut
    out the triangle with the smallest area.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    First step: If (x,y) is a point on the parabola, find the equation of the tangent line.

    Solution: 2xX+Y=1+x^2.

    Regards.
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