MATH 1151 Study Guide - Midterm Guide: Logarithmic Differentiation, Electrical Contacts, Airco Dh.2

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1151
• Professor: All

Document Summary

Show all work in problems 1, 2, and 3 . Incorrect answers with work shown may receive partial credit, but unsubstantiated correct answers may receive no credit. You don" t have to show work in problems 4 and 5. Give exact answers unless asked to do otherwise. The exam consists of 5 problems starting on page 2 and ending on page 8. Pda" s , laptops, and cell phones are prohibited. Make sure your exam is not missing any pages before you start. 1. (27 pts)(i) find the derivatives of the following functions. No need to simlify! g(x) = x ea x+ tan*1(a x) (a)(4 pts) g "(x) = ea x+ a x ea x + 1+(a x)2 a y(x) = (sin x) x (b)(6 pts) y(x) = eln sin x x = ex ln sin x , y "(x) = ex ln sin x ln sin x + x. = (sin x) x(ln sin x + x cot x)