Chain rule

  • What's my equation?
    problem

    What's my equation?

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Can you find the differential equations giving rise to these famous solutions?
  • Quick Route
    problem

    Quick route

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    What is the quickest route across a ploughed field when your speed around the edge is greater?
  • Exponential Trend
    problem

    Exponential trend

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    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.