Solution to Quiz 1 - First Year Interest Group Seminar | N 1, Quizzes of Health sciences

Download Solution to Quiz 1 - First Year Interest Group Seminar | N 1 and more Quizzes Health sciences in PDF only on Docsity! Name: M 408 M First Day Quiz 1. What is the inverse function of f(x) = ex? g(x) = ln(x) 2. Choose the correct description(s). A “derivative” is: (a) the slope of a tangent line to a curve taken at a point. (b) an instantaneous rate of change. (c) a limit of difference quotients. (a), (b), and (c) are all correct. 3. Find the limits. Using L’Hospital’s Rule, a. lim x→0 sin(x) x = lim x→0 cos(x) 1 = 1 b. lim x→∞ 3x2 + 4x+ 1 9x2 − 1000 = 1 3 4. Find the derivative of f with respect to x. f(x) = √ xln(x) Using both the chain rule, and the product rule for differentiation,√ xln(x) = 1 2 (xln(x))−1/2(x 1 x + ln(x)) = 1 2 √ xln(x) (1 + ln(x)) 1