Calc AB Midterm Review Part 2 (Unit 5)
Click here for Part 1: • AP Calculus Midterm Review (Part 1?)
In this video we continue to review for an AP Calculus Midterm with a serious focus on Unit 5. We cover a lot of problems, from parts of old Free Response Questions and a few old multiple choice problems.
Topics covered include pretty much all of Unit 5, but: the Mean Value Theorem; Extreme values (global max, local extrema, critical points); intervals of increasing & decreasing; concavity on an interval; First Derivative Test; Candidates Test; Absolute max/min; Second Derivative Test; Optimization
Some additional videos you might want to watch:
All about Max/Min • Calculus Review Maximum and Minimum Values...
How 1st and 2nd Derivative Relate to Function • Using the First and Second Derivatives to ...
Time stamps:
0:00:00 Introduction
0:01:28 Asymptotes; increasing; concavity
0:12:36 Second derivative test
0:14:09 (1991 BC2) increasing, range, point of inflection
0:22:37 (1992 BC4) continuous & differentiable, increasing, point of inflection
0:29:59 (1999 AB4) tangent line, point of inflection, second derivative test
0:39:26 (2001 AB4) horizontal tangent, local max/min, concavity, tangent line
0:47:39 (1985 AB6) graph of first derivative, relative maximum, concavity
0:49:53 (1989 AB5) graph of first derivative, horizontal tangent, relative max, concavity
0:53:35 (1996 AB1) graph of first derivative, relative max, relative min, concavity
0:56:14 (2003 AB3) graph of first derivative, relative max, relative min, concavity
1:01:00 (1981 BC7) chain rule, evaluating derivatives
1:02:46 (1982 AB2) horizontal and vertical asymptotes
1:05:27 (1982 AB5) absolute maximum, point of inflection
1:12:58 (1973 AB5) absolute maximum
1:17:02 (1976 AB5) coordinates of maximums and minimums (trig!)
1:22:53 (1980 AB2) optimization, inscribed rectangle
1:30:21 (1996 BC1) optimization, inscribed rectangle, point of inflection
1:36:19 (1972 AB4) optimization, square and rectangle field, max area
1:46:16 (1973 AB6) optimization, maximize profits, piecewise functions
1:53:27 (1982 AB6) optimization, rectangular tank, minimize cost
2:01:34 (1969 BC MC.3) Mean Value Theorem (MVT), find point
2:04:01 (1985 BC MC.13) Mean Value Theorem (MVT), find x
2:06:58 (1988 BC MC.24) Mean Value Theorem (MVT), find c
2:09:41 (2009B AB3) Mean Value Theorem from graph, justify
2:12:55 (2008B AB5) Mean Value Theorem from graph, average rate of change, checking conditions
2:16:09 (2007 AB3) table, Mean Value Theorem, Intermediate Value Theorem (IVT)
2:21:54 (2007B AB6) function notation, chain rule, Mean Value Theorem, MVT for second derivative
2:28:29 (2006B AB6) table, MVT on velocity for acceleration
2:31:50 (2005 AB3) table, MVT to show second derivative is negative
2:36:49 (2003B AB3) table, MVT show second derivative is 0