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HelloPiggyCreations Instagram: @hellopiggycreations Etsy shop: https://www.etsy.com/shop/HelloPiggyCreations Welcome to the Final review for Calculus I! In this video, I go over the entire content of what one should know for a typical calculus I Final examination. Feel free to use the timestamps to skip to the questions you wish to go over! The review session is based on when I took Calculus in university so it's based on that however, this should be usable by almost everyone. Good luck to anyone who has exams! 00:00 - Introduction 03:55 - Question 1 (Linearization) 09:32 - Question 2 (Taylor Polynomials) 14:22 - Question 3 (Hyperbolic Trigonometric identities) 22:50 - Question 4 (Maxima and Minima + Critical points) 31:59 - Question 5 (Mean Value theorem with absolute value) 35:27 - Question 6 (Mean value theorem to show a function is increasing) 38:19 - Question 7 (Rolle's Theorem + Roots of an equation) 52:01 - Question 8 (Slant asymptotes) 1:00:34 - Question 9 (Sketching a curve) 1:11:08 - Question 10 (Computing limits + L'hopital's rule) 1:24:56 - Question 11 (Optimization for a cylinder) 1:32:27 - Question 12 (Hard optimization question involving Trigonomety) 1:41:57 - Question 13 (Sigma notation + Integration) 1:44:18 - Question 14 (Definition of an integral) 1:51:07 - Question 15 (FTC + Logarithmic differentiation) 2:01:17 - Question 16 (FTC with non solvable integrals) 2:09:43 - Question 17 (Evaluating integrals generally + Substitution)
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