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AP Calc AB
HA2T
Mr. Patey
Why Math?!?
Sweet Links
Home
AP Calc AB
HA2T
Mr. Patey
Why Math?!?
Sweet Links
Chapter 4 Applications of the Derivative
4.1 Linear Approximation and Applications
--Linear approximation intro
--Linear approximation intro (calculating error)
--Linear approximation try problem
--Linear approximation DNA
--Linear approximation #17
--Linear approximation #23
--Linear approximation using graph #25
4.2 Extreme Values
--Finding critical points and monotonicity
--Finding extrema (and critical points
)
--Finding extrema with trig functions
--Finding extrema with natural log (ln)
--Rolle's Theorem
4.3 The Mean Value Theorem and Monotonicity
--Mean value theorem (MVT) (end of packet)
--Monotonicity
4.4 The Shape of a Graph
--Inflection Points example 3
--Curve sketching with Calculus
--Using the second derivative test for finding max or mins
--Critical and inflection points overview
--Summary of Curve sketching
4.5 L'Hopital's Rule
--L'Hopital's Rule example 1 and 2
--L'Hopital's Rule example 3
--L'Hopital's Rule example 4
(here is a shorter version)
--L'Hopital's Rule example 5 (when it doesn't work)
--L'Hopital's Rule example 7 (infinity -infinity)
--L'Hopital's Rule example 8
(making a fraction so we can use it)
4.6 Graph Sketching and Asymptotes
--Using double signs to sketch a curve
--Curve Sketching example 1
--Curve Sketching example 2
--Curve sketching example 4
--Curve sketching example 6
--Curve sketching example 7
(too long)
--1982 Calculus AB FRQ
4.7 Applied Optimization
--Review on how to find a max value
--Optimizing the area of a window
--Optimizing the distance between a curve and a point
4.8 Newton's Method
(not on AP)
4.9 Antiderivatives
Ch4 Multiple Choice AP Practice
--#1-4
--#5-6
--#7
--#8-9
--#10-12
--#14-16
--#19-20
Assignment Log
Handouts
--Summary of Curve Sketching
--Curve Sketching Packet with Solutions
--Formative Assessment optimization / related rates
--Formative Assessment optimization / related rates solutions
--Formative Assessment optimization / related rates MC w/solutions
--Curve sketching FRQs with solutions