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.
problem
Curvy cubics
Age
16 to 18
Challenge level
Use some calculus clues to pin down an equation of a cubic graph.
problem
Can you find... cubic curves
Age
16 to 18
Challenge level
Can you find equations for cubic curves that have specific features?
problem
Integral chasing
Age
16 to 18
Challenge level
Can you find the missing constants from these not-quite-so-obvious definite integrals?
problem
Designing a polynomial
Age
16 to 18
Challenge level
Can you find a polynomial function whose first derivative is equal to the function?
