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.

Use some calculus clues to pin down an equation of a cubic graph.

Can you find equations for cubic curves that have specific features?

Can you find the missing constants from these not-quite-so-obvious definite integrals?

Can you find a polynomial function whose first derivative is equal to the function?