MATH 31A Study Guide - Midterm Guide: Contin, Quotient Rule, Implicit Function
Document Summary
Find the derivatives of the following ve functions: f1(x) = sin(1 + x2) 1 +x 3 f2(x) =x log x , f3(x) =(sin x)x , f4(x) =log(1 + x + x2) , f5(x) =(log x)3 . 2x cos(1 + x2)(1 + x3) 3x2 sin(1 + x2) (1 + x3)2 f!2(x) = (xlog x)! = ex log sin x! log sin x + x cos x sin x" = (sin x)x! log sin x + x cos x sin x" , Find the derivatives of the following ve functions: f1(x) = sin(1 + x3) 1 +x 2 f2(x) =x log x , f3(x) =(sin x)x , f4(x) =log(1 + x + x2) , f5(x) =(log x)2 . You do not need to simplify your answers or indicate which rule (product, quotient, chain,. you are using. You do not need to indicate the domain of de nition of each function. Solution. f2(x), f3(x) and f4(x) are the same functions in version 1.
