P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques, L’hopital’s Rule, And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
3.1 Extrema On An Interval 3.2 Rolle’s Theorem And The Mean Value Theorem 3.3 Increasing And Decreasing Functions And The First Derivative Test 3.4 Concavity And The Second Derivative Test 3.5 Limits At Infinity 3.6 A Summary Of Curve Sketching 3.7 Optimization Problems 3.8 Newton’s Method 3.9 Differentials Chapter Questions expand_more
Problem 1E Problem 2E: Using a Graph In Exercises 3 and 4, use the graph of f to find (a) the largest open interval on... Problem 4E Problem 3E Problem 5E Problem 6E Problem 7E Problem 8E: Using a Graph In Exercises 5-10, use graph to estimate the open intervals on which function is... Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 15E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 16E: Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open... Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E: Applying the First Derivative Test In Exercises 1740, (a) find the critical numbers of f (if any),... Problem 22E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 28E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 29E Problem 30E Problem 31E Problem 32E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 33E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 34E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 35E Problem 36E Problem 37E Problem 38E: Applying the First Derivative Test In Exercises 19-40, (a) find the critical numbers of f, if any,... Problem 39E Problem 40E: Applying the First Derivative Test In Exercises 1740, (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: True or False? In Exercises 9196, determine whether the statement is true or false. If it is false,... 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