Problem 1E: CONCEPT CHECK Increasing and Decreasing Functions Describe the Test for Increasing and Decreasing... Problem 2E Problem 3E Problem 4E: Using a Graph In Exercises 3 and 4, use the graph of f to find (a) the largest open interval on... Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E: Using a Graph In Exercises 5-10, use graph to estimate the open intervals on which function is... Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 17E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 18E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 24E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 25E Problem 26E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 27E Problem 28E Problem 29E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 30E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 31E Problem 32E Problem 33E Problem 34E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 35E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 36E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 37E Problem 38E Problem 39E Problem 40E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 41E Problem 42E: Applying the First Derivative Test In Exercises 41-48, consider the function on the interval (0, 2).... Problem 43E: Applying the First Derivative Test In Exercises 41-48, consider the function on the interval (0, 2).... Problem 44E Problem 45E Problem 46E: Applying the First Derivative Test In Exercises 41-48, consider the function on the interval (0, 2).... Problem 47E: Applying the First Derivative Test In Exercises 41-48, consider the function on the interval (0,2) .... Problem 48E Problem 49E Problem 50E: Finding and Analyzing Derivatives Using Technology In Exercises 49-54, (a) use a computer algebra... Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E: Think About It In Exercises 57-62, the graph of f is shown in the figure. Sketch a graph of the... Problem 58E: Think About It In Exercises 57-62, the graph of f is shown in the figure. Sketch a graph of the... Problem 59E: Think About It In Exercises 57-62, the graph of f is shown in the figure. Sketch a graph of the... Problem 60E Problem 61E Problem 62E: Think About It In Exercises 57-62, the graph of f is shown in the figure. Sketch a graph of the... Problem 63E: EXPLORING CONCEPTS Transformations of Functions In Exercises 63-66, assume that f is differentiable... Problem 64E Problem 65E: EXPLORING CONCEPTS Transformations of Functions In Exercises 63-66, assume that f is differentiable... Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E: HOW DO YOU SEE IT? Use the graph of f to (a) identify the critical numbers of f. (b) identify the... Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E: Rolling a Ball Bearing A ball bearing is placed on an inclined plane and begins to roll. The angle... Problem 76E Problem 77E Problem 78E Problem 79E: Trachea Contraction Coughing forces the trachea (windpipe) to contract, which affects the velocity v... Problem 80E: Electrical Resistance The resistance R of a certain type of resistor is R=0.001T44T+100 where R is... Problem 81E: Motion Along a Line In Exercises 81-84, the function s(t) describes the motion of a particle along a... Problem 82E Problem 83E Problem 84E Problem 85E: Motion Along a Line In Exercises 85 and 86, the graph shows the position of a particle moving along... Problem 86E: Motion Along a Line In Exercises 85 and 86, the graph shows the position of a particle moving along... Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E: PUTNAM EXAM CHALLENGE Find the minimum value of | sinx=cosx+tanx+cotx+secx+cscx | for real numbers... format_list_bulleted