Curvy calculus
In these resources from the CMEP website, you'll need to use your calculus cunning to solve problems involving various aspects of differentiation and integration.
Curvy Cubics Age 16 to 18 Challenge Level:
Use some calculus clues to pin down an equation of a cubic graph.
Can You Find... Cubic Curves Age 16 to 18 Challenge Level:
Can you find equations for cubic curves that have specific features?
Integral Chasing Age 16 to 18 Challenge Level:
Can you find the missing constants from these not-quite-so-obvious definite integrals?
Designing a Polynomial Age 16 to 18 Challenge Level:
Can you find a polynomial function whose first derivative is equal to the function?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.