In this assessment, students investigate one of the rules for derivative functions, namely for f(x)=x^n. In Part A of the investigation, students investigate the pattern for the gradient of the tangent drawn to f(x)=x^2 at x=2. In Part B of the investigation, students go one step further and investigate whether the rule for the derivative of f(x)=x^n is valid for negative and non-integer values of n. NOTE: The unit for which this assessment is created is Introduction to Calculus, which goes beyond the requirements of the MYP. It is intended as an assessment after the eAssessments, towards the end of the school year, as a preparation for Mathematics in the Diploma Programme.
Math Concepts: differentiation calculus derivatives tangent limit
MYP Related Concepts: generalization patterns
MYP Key Concepts: logic
MYP Global Context: Scientific and Technical Innovation