Analysis 1 (Derivatives)

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) = 3x² - 2x - 5
• Level 2 : Investigate f(x) = -x³ + 2x² + 6x - 2
• Level 3 : Investigate f(x) = -2x⁴ + x²/3 + 4