Differentiation

problem
Bird-brained

Age

16 to 18

Challenge level

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
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.
problem
Impedance can be complex!

Age

16 to 18

Challenge level

Put your complex numbers and calculus to the test with this impedance calculation.
problem
Ramping it up

Age

16 to 18

Challenge level

Look at the calculus behind the simple act of a car going over a step.
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?
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?
problem
Integration matcher

Age

16 to 18

Challenge level

Can you match the charts of these functions to the charts of their integrals?
problem
Least of all

Age

16 to 18

Challenge level

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.
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.
problem
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?