Chain rule

  • Exponential Trend
    problem
    Favourite

    Exponential Trend

    Age
    16 to 18
    Challenge level

    Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.

  • Quick Route
    problem
    Favourite

    Quick Route

    Age
    16 to 18
    Challenge level

    What is the quickest route across a ploughed field when your speed around the edge is greater?

  • What's my equation?
    problem

    What's My Equation?

    Age
    16 to 18
    Challenge level
    Can you find the differential equations giving rise to these famous solutions?
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