SL 5.8—Testing for max and min, optimisation. Points of inflexion

Master SL 5.8—Testing for max and min, optimisation. Points of inflexion with International Baccalaureate (IB) Mathematics Analysis and Approaches exam-style questions, flashcards, lessons, and notes. All resources are aligned with the International Baccalaureate (IB) syllabus and designed for both SL and HL students.

Subtopics

Question Type 1: Finding the stationary points of specific functions by setting first derivatives to 0

Question Type 2: Checking whether the first order conditions constitute to a local minimum or maximum

Question Type 3: Working with shapes to find the largest (or smallest) area (or volume) of specific 2D (or 3D) shapes

Question Type 4: Working with more complex, 3D shapes that are harder to optimize

Question Type 5: Classifying whether specific functions have points of inflexions or not by checking the conditions on which they occur

Question Type 6: Finding the regions of the function in which it is concave up and concave down with technology

Question Type 7: Finding the regions of concavity without technology

Subtopics

Learn

Practice