Develop IB Math AI SL 5.6 skills with a complete Local Maxima and Minima worksheet covering stationary points, derivative tests, sign charts, and increasing and decreasing functions.

Students practise how to:
• Find critical and stationary points by solving f′(x) = 0
• Identify where derivatives are zero or undefined
• Use the first derivative test to classify local maxima and minima
• Apply the second derivative test using concavity
• Construct sign charts for f′(x)
• Determine where functions are increasing or decreasing
• Connect algebraic derivative information with graphical behaviour
• Distinguish between local and absolute extrema

Structured tasks guide students through differentiating functions, solving for critical points, and interpreting changes in the sign of the derivative. Conceptual prompts reinforce exam-relevant reasoning and help students understand why turning points occur, making the resource ideal for classroom practice, homework, revision, or independent study.

Pairs well with these resources:

IB Math AI SL 5.6 Local Maxima and Minima Slides
IB Math AI SL 5.6 Local Maxima and Minima Notes

Fully aligned with IB Mathematics: Applications and Interpretation SL 5.6 – Local Maxima and Minima.