01:640:151 Study Guide - Midterm Guide: Weather Balloon, Gas Balloon
Document Summary
Math 151, fall 2016, review problems for exam 2. Do not assume that your second midterm exam will resemble this set of prob- lems, or that it will not resemble this set of problems. This set of problems is just a study aid. There are 24 problems on two pages. (1) di erentiate the following functions of x: (a) f (x) = 10arccos x (b) g(x) = sin 1(log5(x3 + x + 1)) (c) h(x) = ln(tan 1 x). (2) find (a) lim x 1. , nd the intervals where it is concave up, the intervals where it is concave down and the in ection points. 1 x2 + 1 (8) find all local maxima and all local minima of f (x) = cos x sin x . 3 (cid:2)sec 1 x(cid:3) using the identity sec 1 x = cos 1(1/x) and the chain rule.
