Differentiation and Integration
Mind Your Ps and Qs
Sort these mathematical propositions into a series of 8 correct statements.
Implicitly
Can you find the maximum value of the curve defined by this expression?
Integration Matcher
Can you match the charts of these functions to the charts of their integrals?
Brimful 2
Which of these infinitely deep vessels will eventually full up?
Calculus Countdown
Can you hit the target functions using a set of input functions and a little calculus and algebra?
Trig Trig Trig
Can you make sense of this combination of trig functions?
Gradient Match
What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
Turning to Calculus
Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
Curve Hunter
This problem challenges you to sketch curves with different properties.
Calculus Analogies
Consider these analogies for helping to understand key concepts in calculus.
The Sign of the Times
Can you make sense of this relationship between function and derivative?
Patterns of Inflection
Find the relationship between the locations of points of inflection, maxima and minima of functions.