MATH 1151 Study Guide - Midterm Guide: Implicit Function, Electrical Contacts, Maxima And Minima

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

Document Summary

Show all work in problems 1, 2, and 5 . 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 3 and 4. 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. (16 pts) (a)(6 pts) fill in the blanks. f"(x)= lim h (b)(10 pts) x+ 4 . Use the(limit) definition of derivative in(a) to find f"(x). Do not use the product or quotient rule! 2. (18 pts) a part of the curve with equation is sketched below. 3 cos( xy)+x+y= 1 (a) use implicit differentiation to find the derivative dy dx point lies on the curve. (b) consider the point(1, 1).