Chapter 4 - Applications of Differentiation
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4.1 Learning Targets
I can determine the absolute and local maximum and minimum values of a function graphically.
I can determine the absolute and local maximum and minimum values of a function algebraically.
I can use the Closed Interval Method to find the absolute maximum and minimum values of a function.
4.2 Learning Targets
I understand what The Mean Value Theorem states and when it is applicable.
I understand what Rolle's Theorem states and when it is applicable.
Chapter 4 AP Sample Test
(Access Restricted)
4.3 Learning Targets
I can use the first derivative to determine whether a function is increasing or decreasing.
I can use The First and Second Derivative Tests to find the local maxima and minima of a function.
I can use the second derivative to determine concavity and points of inflections of a function.
Chapter 4 AP Sample Test
Answer Key
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4.4 Learning Targets
I can use L'Hospital's Rule to evaluate limits in the indeterminate forms 0/0 or infinity/infinity.
I can use L'Hospital's Rule to evaluate limits in indeterminate products, indeterminate powers and indeterminate differences.
4.5 Learning Targets
I can follow the guidelines for curve sketching to produce the sketch of a graph without the direct use of a graphing calculator.
I can find the equation of a slant asymptote by using polynomial long division or limits.
4.6 Learning Targets
I understand the uses of graphing calculators for estimation of local extrema and inflection points, contrasted with the use of calculus for precise computation of such points.
I understand the need for special care when using graphing technology.
4.7 Learning Targets
I can use the method (guidelines) given in the text for setting up and solving optimization problems (without direct reference).
I can use the various tests and the Closed Interval Method for finding absolute extrema to solve optimization problems.
4.8 Learning Targets
I can use Newton's method to approximate the zeros of a function.
4.9 Learning Targets
I can find the general form of antiderivatives with and without initial conditions.
I can find the general antiderivatives in terms of position, velocity, and acceleration in rectilinear motion in the real world.
I can find the general antiderivatives in terms of position, velocity, and acceleration in rectilinear motion.
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