Subject 1: The notion of derivative

• Level 1 : Estimate f'(2) in a given graph
• Level 2 : Calculate the derivative of a polynomial
• Level 3 : Calculate f'(3) in a polynomial
• Level 4 : Find the equation of the tangent
• Level 5 : Find x such that f'(x) = -2/3

Subject 2: Investigating polynomial functions

• Level 1 : Investigate f(x) = 3x 2 - 2x - 5
• Level 2 : Investigate f(x) = -x 3 + 2x 2 + 6x - 2
• Level 3 : Investigate f(x) = -2x 4 + x 2 /3 + 4