### First-semester calculus final exam review (8)

Calculus: First-semester calculus final exam review session. Evaluating a limit. Quotient Rule for derivatives. Chain rule. Implicit differentiation. A 57th-order derivative. L'H?pital's rule. Minimizing a function (First Derivative and Second Derivative Tests). Newton's method. Substitution method for integration; substitution method for definite integrals. Determining constants of integration. Differentiation under the integral sign using Leibnizs rule; differentiation under the integral sign using the First Fundamental Theorem of Calculus and the Chain Rule. Calculating the volume of solids of revolution using the disk/washer method; calculating the volume of solids of revolution using the method of cylindrical shells. Average value of a function This is a recording of a tutoring session, posted with the students' permission. These videos are offered on a "pay-what-you-like" basis. You can pay for the use of the videos at my website: http://www.freelance-teacher.com/videos.htm For a printable document containing the problems discussed in this video series, go to my website. For a list of all the available video series, arranged in suggested viewing order, go to my website. For a playlist containing all the videos in this series, click here: http://www.youtube.com/watch?v=hcTvd4A4dq4&feature=PlayList&p=B975774179245D00&index=0&playnext=1 (1) Evaluating a limit. Quotient Rule for derivatives. Chain rule. Implicit differentiation (2) A 57th-order derivative. L'H?pital's rule. (3) Continued (4) Minimizing a function (First Derivative and Second Derivative Tests) (5) Newton's method (6) Continued. Substitution method for integration (7) Continued (8) Determining constants of integration. Differentiation under the integral sign using Leibnizs rule (9) Differentiation under the integral sign using the First Fundamental Theorem of Calculus and the Chain Rule (10) Calculating the volume of solids of revolution using the disk/washer method (11) Continued (12) Average value of a function; Substitution method for definite integrals (13) Calculating the volume of solids of revolution using the method of cylindrical shells (14) Continued

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