https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/x2dd7feea:analytical-applications-of-differentiation-free-response-questions/a/analytical-applications-of-differentiation-frqs 2026-06-25T15:40:55.094699315Z Analytical applications of differentiation FRQs What types of questions focus on concepts from this unit? What makes a high-quality response? How are the responses scored? This article walks you through these questions. article https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/2011-calculus-ab-free-response-1a 2026-06-29T20:40:47.259641521Z Analyzing speed of a particle: 2011 Calculus AB free response #1a Determining whether speed is increasing. Difference between speed and acceleration Sal Khan video https://cdn.kastatic.org/googleusercontent/fgDf0HzzaPCLB5F9iPoeRex1Fj1hf_4nVgZTbNTTtdr5CLAWIyMpa7nMP8Ev0ukeCpRB9y5xywoMA8zmD0pNddw Analyzing speed of a particle: 2011 Calculus AB free response #1a Determining whether speed is increasing. Difference between speed and acceleration https://cdn.kastatic.org/ka-youtube-converted/ppBJWf_Wdmc.mp4/ppBJWf_Wdmc.mp4 448 Free response questions: contextual applications of differentiation https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/2011-calculus-ab-free-response-5a 2026-06-29T20:40:47.259641521Z Using tangent line for approximation: 2011 Calculus AB free response #5a Using a tangent line to extrapolate a function from a known initial condition Sal Khan video https://cdn.kastatic.org/googleusercontent/rtDq3ER4nPqCn0Veh1rDNT_aFSjr1ccfH4j-nbCRpkzQKFeT2ajWZoluoyg_nBIJWfBEaw-llK2GAOJYsOTyNcZE Using tangent line for approximation: 2011 Calculus AB free response #5a Using a tangent line to extrapolate a function from a known initial condition https://cdn.kastatic.org/ka-youtube-converted/n9UvuzI2fq0.mp4/n9UvuzI2fq0.mp4 419 Free response questions: contextual applications of differentiation https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/estimating-rate-of-change-2015-ap-calculus-ab-bc-1b 2026-06-29T20:40:47.259641521Z Estimating rate of change 2015 AP Calculus AB BC 1b Estimating a rate of change based on given functions. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/85e51f65-4c80-4cda-a41f-a265feeedaed_1280_720_base.png Estimating rate of change 2015 AP Calculus AB BC 1b Estimating a rate of change based on given functions. https://cdn.kastatic.org/ka-youtube-converted/PTWT41LmPl8.mp4/PTWT41LmPl8.mp4 228 Free response questions: contextual applications of differentiation https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/2015-ap-calculus-2c 2026-06-29T20:40:47.259641521Z Finding rate of change: 2015 AP Calculus 2c Rate of change of difference between functions video https://cdn.kastatic.org/googleusercontent/Z8gsP7r5HEp4nEHlOMBRKBP-ZYEV58df2awJskLbhHXTbkUmA_UTcRJwsQI6nSw9j2KcNlD9k_7cSC0V-0avDTUHbQ Finding rate of change: 2015 AP Calculus 2c Rate of change of difference between functions https://cdn.kastatic.org/ka-youtube-converted/Ncv6gt2Luew.mp4/Ncv6gt2Luew.mp4 225 Free response questions: contextual applications of differentiation https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/calculating-acceleration-ap-calculus-ab-bc-2015-3c 2026-06-29T20:40:47.259641521Z Calculating acceleration AP Calculus AB BC 2015 3c Calculating acceleration from a velocity function with context. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/2918bd5a-6169-4040-b48c-ecf4fa51f1ce_1280_720_base.png Calculating acceleration AP Calculus AB BC 2015 3c Calculating acceleration from a velocity function with context. https://cdn.kastatic.org/ka-youtube-converted/bt1eSGeC3ak.mp4/bt1eSGeC3ak.mp4 106 Free response questions: contextual applications of differentiation https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/x2dd7feea:contextual-applications-of-differentiation-free-response-questions/v/2017-ap-calculus-abbc-4a 2026-06-29T20:40:47.259641521Z Writing and using equation of tangent line: 2017 AP Calculus AB/BC 4a Potato problem from 2017 AP exam (Question 4). Finding and using the equation of a tangent line to approximate solution to differential equation. video https://cdn.kastatic.org/ka_thumbnails_cache/c1040cdb-c000-436d-957e-e7cb3b9416a7_1280_720_base.png Writing and using equation of tangent line: 2017 AP Calculus AB/BC 4a Potato problem from 2017 AP exam (Question 4). Finding and using the equation of a tangent line to approximate solution to differential equation. https://cdn.kastatic.org/ka-youtube-converted/tMA17GzO0TY.mp4/tMA17GzO0TY.mp4 368 Free response questions: contextual applications of differentiation