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AP Calculus

Single Variable Calculus with Vector Functions, James Stewart

Chapter 2

Section 2-1, The Tangent and Velocity Problems
Page 91: Problems 2,4,5,8
Solutions

Section 2-2, The Limit of a Function
Page 102: Problems 2,3,5,8,9,14,15,16,21,23,24,30,32,38
Solutions
Section 2-3, Calculating Limits Using the Limit Laws
Page 111: Problems 1,2,3,4,6,10,11,12,13,15,17,18,19,22,26,32,45,50,52
Solutions
Section 2-5, Continuity
Page 133: Problems 1,3,6,11,15,16,25,31,37,39,40,44,50,57
Solutions
Section 2-6, Limits at Infinity & Horizontal Asymptotes
Page 146: Problems 1,3,5,14,21,34,39,46,55
Solutions
Section 2-7, Tangents, Velocities, and Other Rates of Change
Page 155: Problems 1,3,6,7,8,10,11,17,22,24
Solutions

Chapter 2 Review
Page 177: 1,22,4,5,6,15,17,18,19,31,35,37,39

 

Chapter 3

Section 3-1, Derivatives of Polynomials and Exponential Functions
Page 191: Problems 1,4,5,6,7,8,17,18,32,35,40,47,54
Solutions

Section 3-2, The Product and Quotient Rules
Page 197: Problems 1,7,9,15,19,26,27,31,35
Solutions

Section 3-3, Rates of Change in the Natural and Social Sciences
Page 208: Problems 2,3,8,12,15,18,20,21,22,26,29,30,34
Solutions

Section 3-4, Derivatives of Trig Functions
Page 216: Problems 1,2,3,7,9,13,16,17,20,22,23,25,31,33,36,39,45
Solutions
Section 3-5, The Chain Rule
Page 224: Problems 1,2,3,4,6,7,8,10,11,14,16,17,23,26,44,51,55,58,61,66,75
Solutions
Section 3-6, Implicit Differentiation
Page 233: Problems 1,2,5,6,7,8,10,15,16,22,23,26,57,59,69
Solutions
Section 3-7, Higher Derivatives
Page 240: Problems 2,3,5,6,8,9,10,14,19,25,35,41,42,43,44,56
Solutions
Former Students: Albert Einstein
Isaac Newton
Gottfried Liebniz
Oliver Heaviside
Current Student:
"Coop"

 

Chapter 4

Section 4-1, Maximum and Minimum Values
Page 285: Problems 4,5,7,12,13,18,19,23,25,28,32,33,59,61,69,71
Solutions

Section 4-2, The Mean Value Theorem
Page 295: Problems 1,7,11,13,16,19,22,23,34,35
Solutions

Section 4-3, How Derivatives Affect the Shape of a Graph
Page 304: Problems
Solutions

Section 4-4, Indeterminate Forms and L'Hopital's Rule
Page 313: Problems
Solutions
Section 4-5, Summary of Curve Sketching
Page 323: Problems
Solutions
Section 4-6, Graphing and Calculus and Calculators
Page 330: Problems
Solutions
Section 4-7, Optimization Problems
Page 336: Problems
Solutions
Section 4-8, Applications To Business and Economics
Page 346: Problems
Solutions
Section 4-9, Newton's Method
Page 351: Problems
Solutions
Section 4-10, Antiderivatives
Page 358: Problems
Solutions