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Textbook HW: Math 251 Calculus I
Clackamas Community College – Spring 2017

CHAPTER 2

Limits and Derivatives

2.1

pp. 94

The Tangent and Velocity Problems

 

 

#1 a&b, 3, 5

2.2

pp. 102-104

The Limit of a Function

 

 

#3, 5, 7, 13, 15, 19, 21

2.3

pp. 111-112

Calculating Limits Using the Limit Laws

 

 

#1 , 2 , 8, 9, 11, 15, 19, 37

2.4

pp. 121-123

Continuity and the Intermediate Value Theorem (IVT)

 

 

#3, 5, 7, 15, 17, 25, 35, 41, 43, 44

2.5

pp. 132-135

Limits Involving Infinity

 

 

#2, 3, 4, 5, 7, 9, 11, 15, 19, 21, 23, 31, 35

2.6

pp. 142-145

Derivatives and Rates of Change

 

 

#3a ii, 5, 7, 9, 13, 15, 17, 19, 21, 43 a&b

2.7

pp. 155-158

The Derivative as a Function

 

 

#1, 3, 4, 5, 7, 9, 13, 19, 21, 35, 37, 45

2.8

pp. 162-164

What Does f' Say About f ?

 

 

#1, 3, 5, 8, 15, 19, 21


CHAPTER 3

Differentiation Rules

3.1

pp. 181-183

Derivatives of Polynomials and Exponential Functions

 

 

#3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 45, 49

3.2

pp. 188-190

The Product and Quotient Rules

 

 

#1, 3, 5, 7, 9, 11, 13, 17, 25, 29, 31, 33, 45, 47

3.3

pp. 195-197

Derivatives of Trigonometric Functions

 

 

#1, 3, 5, 7, 9, 15, 19, 21, 23, 31, 39

3.4

pp. 205-208

The Chain Rule

 

 

#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 37, 41, 45 ,51, 55, 57, 69

3.5

pp. 214-216

Implicit Differentiation

 

 

#1, 3, 5, 7, 9, 11, 13, 15, 17, 21,  29, 33

3.6

pp. 220-221

Inverse Trigonometric Function and Their Derivatives

 

 

#1, 3, 13, 17, 19

3.7

pp. 226

Derivatives of Logarithmic Functions

 

 

#3, 5, 7, 9, 11, 13, 17,  21, 25, 27, 43

3.8

pp. 237-240

Rates of Change in the Natural and Social Sciences

 

 

#1, 5, 6, 9, 13


CHAPTER 4

Differentiation Applications

4.1

pp. 260-262

Related Rates

 

 

#1, 3, 5, 7, 9, 11, 15, 17, 21, 23

4.2

pp. 268-270

Maximum and Minimum Values

 

 

#1, 3, 5, 7, 9, 11, 13, 33, 35, 37, 43, 45

4.3

pp. 279-282

Derivatives and Shapes of Curves and the Mean Value Theorem (MVT)

 

 

#3, 5, 7, 9, 11, 13, 15, 21, 23, 27

4.5

pp. 297-305

Indeterminate Forms and L´Hôpital’s Rule

 

 

#1, 3, 5, 7, 9, 11, 17, 19, 31,  69

4.6

pp. 306-315

Optimization Problems

 

 

#3, 5, 7, 9, 11, 13, 25