MATH 157 Study Guide - Midterm Guide: Exact Change

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 157
• Professor: All

Document Summary

Question maximum score: write your last name, given name(s), student number, and sfu email id in the box above, sign your name in the box provided, this exam has 5 questions on 5 pages. Please check to make sure your exam is complete: this is a closed book exam. 7: calculator is allowed but graphic calculator is not allowed. Page 1 of 5: find the derivatives f(cid:48)(x) of the following functions f (x) where. [2] (a) f (x) = 5x2 2 + 3x 4x2 1. Solution : f(cid:48)(x) = 5x2 2(ln 5)(2x) + 3x(ln 3) 4x2 1(ln 4)(2x). [4] (b) f (x) = xln x. simplify your answer. Take ln to both sides, we get ln y = (ln x)(ln x) = (ln x)2 and then take derivatives with respect to x, we get. [3: (a) let y be a function of x de ned implicitly by (2xy2 3)4 = 3x 2y3.