Differentiation of parametric and implicit functions

  • Implicitly
    problem

    Implicitly

    Age
    16 to 18
    Challenge level
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    Can you find the maximum value of the curve defined by this expression?
  • Squareness
    problem

    Squareness

    Age
    16 to 18
    Challenge level
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    The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?
  • Folium of Descartes
    problem

    Folium of Descartes

    Age
    16 to 18
    Challenge level
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    Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

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