Arkansas School of Mathematics, Sciences and the Arts

Prepared by L. Marizza A. Bailey

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

• Differential Equations ……………………………… 142

• Taylor Series ……………………………… 154

• Parametric Equations ……………………………… 173

• Polar Equations ……………………………… 176