Ap calculus ab - Study guides, Class notes & Summaries
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![AP Calculus AB Final: Multiple Choice Questions with Answers](/docpics/5046391/66221c191c51e_5046391_121_171.jpeg)
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AP Calculus AB Final: Multiple Choice Questions with Answers
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AP Calculus AB Final: Multiple Choice Questions with Answers 
 
Find all points of relative minima and maxima: 
 
y = x^2 + 6x + 5 - Answer>>minima at (-3, -4) 
 
Find all points of relative minima and maxima: 
 
y = -12/(x^2 + 3) - Answer>>minima at (0, -4) 
 
Find the open intervals where the function is concave up and concave down.
![AP Calculus AB Theorems Questions and answers latest update](/docpics/4904137/660c9daf5d1ac_4904137_121_171.jpeg)
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AP Calculus AB Theorems Questions and answers latest update
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AP Calculus AB Theorems Questions and answers latest update
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AP Calculus AB Exam Review Questions and answers latest update
- Exam (elaborations) • 2 pages • 2024
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AP Calculus AB Exam Review Questions and answers latest update
![AP Calculus AB Study guide](/docpics/5046310/66221a76dc32e_5046310_121_171.jpeg)
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AP Calculus AB Study guide
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AP Calculus AB Study guide
![AP Calculus AB Final: Multiple Choice Questions And Answers](/docpics/7097537/679642431e39e_7097537_121_171.jpeg)
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AP Calculus AB Final: Multiple Choice Questions And Answers
- Exam (elaborations) • 4 pages • 2025
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AP Calculus AB Final: Multiple Choice Questions 
 
Find all points of relative minima and maxima: 
 
y = x^2 + 6x + 5 - Answer-minima at (-3, -4) 
 
Find all points of relative minima and maxima: 
 
y = -12/(x^2 + 3) - Answer-minima at (0, -4) 
 
Find the open intervals where the function is concave up and concave down. 
 
y = (2x-12)^(1/3) - Answer-concave up: (-∞, 6) 
concave down: (6, ∞) 
 
Find the open intervals where the function is concave up and concave down. 
 
y = -x^3 + x^2 + 3 ...
![AP Calculus AB Exam Questions and Answers](/docpics/7097422/67963d5016ea4_7097422_121_171.jpeg)
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AP Calculus AB Exam Questions and Answers
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AP Calculus AB Exam 
 
Intermediate Value Theorem - Answer-If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis. 
 
Average Rate of Change - Answer-Slope of secant line between two points, use to estimate instantanous rate of change at a point. 
 
Instantenous Rate of Change - Answer-Slope of tangent line at a point, value of derivative at a point 
 
Formal definition of derivative - Answer-limit as h approaches 0 of [f(a+h)-f(a)]/h 
 
Alternate definiti...
![AP Calculus AB Exam Questions and Answers](/docpics/7097452/67963ec84e148_7097452_121_171.jpeg)
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AP Calculus AB Exam Questions and Answers
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AP Calculus AB Exam 
 
d sin x - Answer-cos x 
 
d cos x - Answer-- sin x 
 
d tan x - Answer-sec^2 x 
 
∫sin x - Answer-- cos x 
 
∫cos x - Answer-sin x 
 
∫ sec^2 x - Answer-tan x 
 
d ln U - Answer-dU / U 
 
∫ e^U dU - Answer-e^U 
 
∫ dU / U - Answer-ln |U| 
 
e^ln x - Answer-x 
 
ln e^x - Answer-x 
 
ln e - Answer-1 
 
ln 1 - Answer-0 
 
ln A^B - Answer-B ln A 
 
ln (A/B) - Answer-ln A - ln B 
 
ln AB - Answer-ln A + ln B 
 
d e^U - Answer-e^U dU 
 
limit as x approaches 0 in: (sin...
AP Calculus AB Unit 2 Progress Check MCQ Part A Scoring Guide 2023
AP Calculus AB Study Guide
![AP Calculus AB](/docpics/3304814/64e74173b0c7b_3304814_121_171.jpeg)
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AP Calculus AB
- Exam (elaborations) • 3 pages • 2023
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AP Calculus AB 
 2023 
 
1 - 
0 - 
Squeeze Theorem - 
f is continuous at x=c if... - 
Intermediate Value Theorem - If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k 
Global Definition of a Derivative - 
Alternative Definition of a Derivative - f '(x) is the limit of the following difference quotient as x approaches c 
nx^(n-1) - 
1 - 
cf'(x) - 
f'(x)+g'(x) - 
f'(x)-g'(x) - 
cos(x) - 
-sin(x)...
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