This chapter is all about the awesome applications of derivatives!  You begin with absolute extrema and finding critical numbers.  Then it is off to Rolle’s and the Mean Value Theorems.  From there your quest takes you through using f ‘ to figure out where f is increasing and decreasing along with rocking the First Derivative Test!  The study of the second derivative, f “, and the concavity and points of inflection of f is the next important stop.  The 2nd derivative test is explored.  You will then learn how to sketch curves using all of the calculus rocked thus far.  You will master the fun and classic lesson on optimization and make easy work of tangent line approximations (local linearization) and differentials.  From there, you will make quick work of Newton’s method.  TONS of original AB and BC Exam practice problems all about the applications of the derivative close out the chapter!

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