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# Differentiation and Integration

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### Curve Hunter

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### The Sign of the Times

### Patterns of Inflection

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Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

Which of these infinitely deep vessels will eventually full up?

Age 16 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

Can you make sense of this combination of trig functions?

Age 16 to 18

ShortChallenge Level

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

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.

Age 14 to 18

Challenge Level

This problem challenges you to sketch curves with different properties.

Age 16 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

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

Age 16 to 18

Challenge Level

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