1. The problem statement, all variables and given/known data Find a number in the closed interval [1/2, 3/2] such that the sum of the number and its reciprocal is (a)as small as possible (b) as large as possible I am given the answer in the back of the book The answer to a is 1 The answer to be is 1/2 2. Relevant equations Here is my equation S= x + 1/x dS/dx = 1-1/x^2 3. The attempt at a solution I was wondering if i should set the derivative equal to zero and find the zeroes for the derivatives???