MATH 1013 Study Guide - Midterm Guide: Mean Value Theorem, Logarithmic Differentiation, Implicit Function

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1013
• Professor: All

Document Summary

Instructions: please write your name, student number and final answers in ink, this is a closed-book test, duration - 50 minutes, no calculator is permitted, there are 6 questions on 7 pages. Fill in answers in designated spaces, and in multiple choice questions, circle the correct answer(s). Your work must justify the answer you give. Student no: __ _ : (3 + 3 + 4 pts) (a) find ~~ if y = arctan(arcsin vx); ~ ~ c~c_~"\a "f>l) v 1 - c- 1" &)t_ t l_ (\[y:" ) J_ \[~ (b) find dy ify = (cosx)x dx. Answer: ___ _ e. _~= ~(w)1lyc_ etj -=- ~r c~)(_"j k(&~) = ktt e. ~)0. ~ 1~ -=- l(~~c_) -t x ~)t_ ~)l (cp))l) ~ & ~ & (eu> )l-\ (--c. _"- )(_ \ Student no: ____ _ (c) use implicit differentiation to find the equation of the tangent line to the graph of the equation xey = y- 1 at the point(o, 1).