Final Review

Calculus I    Enoch

Final scheduled for Tuesday at 8:00 AM in our regular classroom

In this final I will expect you to:

§         Take limits of a rational function. (see problems 4, 5, 6, and 14 in the chapter 2 review).

§         Given f(x), find f ‘(x).  This involves familiarity with derivatives of all basic functions, the product rule, quotient rule, and chain rule (chapter 3).

§         Given f(x), find f ‘(x) using logarithmic differentiation (section 3.7 #27-36).

§         Implicitly differentiate a function (#3-12 of section 3.6).

§         Find the linearization of a function f(x) at a point a and use it to approximate f(x) for values of x near a (#5, 6 of section 3.8).

§         Solve one of the related rates problems from your worksheet.

§         Find all local maxima/minima, and the absolute maximum and minimum of a function within a given interval (#35-43 of section 4.2)

§         Given a sketch of f ’(x), identify the intervals on which f(x) is increasing or decreasing and concave up or concave down; find the local maxima and minima and inflection points.  Draw a sketch of what f(x) might look like (#11, 12, 27, and 28 of section 2.10.  Also see section 4.3).