Differentiation

  • Integration matcher
    problem

    Integration matcher

    Age
    16 to 18
    Challenge level
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    Can you match the charts of these functions to the charts of their integrals?

  • Calculus Countdown
    problem

    Calculus countdown

    Age
    16 to 18
    Challenge level
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    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
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    Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

  • Loch Ness
    problem

    Loch Ness

    Age
    16 to 18
    Challenge level
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    Draw graphs of the sine and modulus functions and explain the humps.

  • Towards Maclaurin
    problem

    Towards Maclaurin

    Age
    16 to 18
    Challenge level
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    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
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    What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?