Differentiation

  • Calculus Countdown
    problem

    Calculus Countdown

    Age
    16 to 18
    Challenge level

    Can you hit the target functions using a set of input functions and a little calculus and algebra?

  • Turning to calculus
    problem

    Turning to Calculus

    Age
    16 to 18
    Challenge level

    Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

  • Generally Geometric
    problem

    Generally Geometric

    Age
    16 to 18
    Challenge level

    Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.

  • Towards Maclaurin
    problem

    Towards Maclaurin

    Age
    16 to 18
    Challenge level

    Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

  • Operating machines
    problem

    Operating Machines

    Age
    16 to 18
    Challenge level

    What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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