Differentiation and Integration

Mind Your Ps and Qs

Age 16 to 18 Short
Challenge Level

Sort these mathematical propositions into a series of 8 correct statements.

Implicitly

Age 16 to 18
Challenge Level

Can you find the maximum value of the curve defined by this expression?

Integration Matcher

Age 16 to 18
Challenge Level

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

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

Brimful 2

Age 16 to 18
Challenge Level

Which of these infinitely deep vessels will eventually full up?

The Right Volume

Age 16 to 18 Short
Challenge Level

Can you rotate a curve to make a volume of 1?

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?

Trig Trig Trig

Age 16 to 18 Short
Challenge Level

Can you make sense of this combination of trig functions?

Gradient Match

Age 16 to 18 Short
Challenge Level

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

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.

Curve Hunter

Age 14 to 18
Challenge Level

This problem challenges you to sketch curves with different properties.

Calculus Analogies

Age 16 to 18
Challenge Level

Consider these analogies for helping to understand key concepts in calculus.

The Sign of the Times

Age 16 to 18 Short
Challenge Level

Can you make sense of this relationship between function and derivative?

Patterns of Inflection

Age 16 to 18
Challenge Level

Find the relationship between the locations of points of inflection, maxima and minima of functions.