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Prepare effectively for your Calculus II Exam 2 on February 18 by reviewing essential topics including logarithmic differentiation, proving identities, and understanding the definitions of logarithmic and exponential functions as well as inverse trigonometric and hyperbolic functions. Familiarize yourself with limit evaluation using l'Hôpital's Rule, integration by parts, and substitution techniques for integrals related to quadratic terms. Remember to verify your answers and tackle easier questions first to build confidence.
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MAT 1235Calculus II Exam 2 Review http://myhome.spu.edu/lauw
Exam 2 • Date: 2/18 Tuesday • 1:50-2:50 • Section 6.2*-6.8, 7.1-7.3 • Total Points: 60 points
6.2* • Know how to use log. differentiation.
6.7 • Able to prove identities.
6.2*-6.7 • Familiar with the definitions of lnx, ex , the general log and exponential functions, the inverse trigonometric functions, and the hyperbolic functions.
6.2*-6.7 • Familiar with the definitions of lnx, ex , the general log and exponential functions, the inverse trigonometric functions, and the hyperbolic functions. • Know how to derive the derivatives of these functions from the definitions.
6.2*-6.7 • Know how to compute limits, derivatives and integrals involve these functions.
6.8 • Able to evaluate limits using the l’Hospital’s rule.
7.1 • Able to perform integration by parts.
7.2 • Know the substitutions for evaluating integrals of the form
7.3 • Know the substitutions for evaluating integrals involving the terms • Know how to deal with general quadratic term (completing the square).
Reminder • Verify answers. • Do the easy questions first. • Do not skip steps.