Arkansas School of Mathematics, Sciences and the Arts
AP Calculus Free Responses
Categorized by Topic
• Continuity and Differentiability
……………………………… 1
• Relative Extrema and Inflection
……………………………… 10
• Tangent Line Equations
……………………………… 22
• Slope Fields
………………………………. 34
• Particular Motion
………………………………. 38
• Related Rates
………………………………. 58
• Relating f, f’, f’’
………………………………. 70
• Riemann Sums and Accumulation
………………………………. 99
• Fundamental Theorem of Calculus
………………………………. 106
• Volumes and Areas
……………………………… 118
•
……………………………… 142
Differential Equations
• Taylor Series
……………………………… 154
• Parametric Equations
……………………………… 173
• Polar Equations
……………………………… 176
Prepared by L. Marizza A. Bailey