Calculus I MAC 2311
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This 1 page Class Notes was uploaded by Connor Abernathy II on Monday October 12, 2015. The Class Notes belongs to MAC 2311 at Florida International University taught by Yi Zhi Yang in Fall. Since its upload, it has received 44 views. For similar materials see /class/221708/mac-2311-florida-international-university in Calculus and Pre Calculus at Florida International University.
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Date Created: 10/12/15
MAC 2311 Review for Exam III 1 The derivatives of inverse functions 43 a Show that f is one to one b Find f 1 c The derivatives of the exponential and inverse trigonometric functions Page 254 5 22 33 48 2 Using the L7Hopital7s Rule to find the limits 44 Page 263 5 35 3 Analysis of functions 515253 a Find the critical points and identify Which critical points are stationary points b Determine Where f is increasing and Where f is decreasing c Find relative extrema of f if any d Determine Where f is concave up and Where f is concave down e Find the in ection points of f if any f Find the vertical and the horizontal asymptotes if any g The x and y intercepts h Sketch the graph of f Page 277 911132123 Page 287 7927 3031 Page 299 1 5 4Absolute maxima and minima 54 a Find the absolute maximum and minimum of f on the interval 11 b Find the absolute maximum and minimum of f on the interval 11 Page 30773133393133 5 Applied maximum and minimum problems55 Page 318 1234511121319 6 The Rolle7s Theorem and the Mean Value Theorem 57 a Verify that a function satisfies the hypotheses of the theorems on the interval 1 b and then find all values of c in the interval that satisfy the conclusion of the theorem Page 334 357 12 b The consequences of the Mean Value Theorem 573 Page 335 253630333435 7 lndefinite integrals62 63 a Evaluate the integrals integration formulas on page 357 Page 365 15 34 b Integration by substitution Page 372 9 49 c Solve the initial value problem Page 364 41 43 Page 373 63 66 d Find the equation of the curve that satisfies the given condition Page 364 45 49 Page 373 69 8 Tangent line for parametric curves 112 Page 93 35711 Page 736 5791113