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## First-semester calculus final exam review (6)

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• Description: Calculus: First-semester calculus final exam review session. Evaluating a limit. Quotient Rule for derivatives. Chain rule. Implicit differentiation. A 57th-order derivative. L'Hôpital'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

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(1) Evaluating a limit. Quotient Rule for derivatives. Chain rule. Implicit differentiation
(2) A 57th-order derivative. L'Hôpital'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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