Textbook HW: Math 251 Calculus I

CHAPTER 2 
Limits and Derivatives 

2.1 
pp. 94 
The Tangent and Velocity Problems 


#1 a&b, 3, 5 
2.2 
pp. 102104 
The Limit of a Function 


#3, 5, 7, 13, 15, 19, 21 
2.3 
pp. 111112 
Calculating Limits Using the Limit Laws 


#1 , 2 , 8, 9, 11, 15, 19, 37 
2.4 
pp. 121123 
Continuity and the Intermediate Value Theorem (IVT) 


#3, 5, 7, 15, 17, 25, 35, 41, 43, 44 
2.5 
pp. 132135 
Limits Involving Infinity 


#2, 3, 4, 5, 7, 9, 11, 15, 19, 21, 23, 31, 35 
2.6 
pp. 142145 
Derivatives and Rates of Change 


#3a ii, 5, 7, 9, 13, 15, 17, 19, 21, 43 a&b 
2.7 
pp. 155158 
The Derivative as a Function 


#1, 3, 4, 5, 7, 9, 13, 19, 21, 35, 37, 45 
2.8 
pp. 162164 
What Does f' Say About f ? 


#1, 3, 5, 8, 15, 19, 21 
CHAPTER 3 
Differentiation Rules 

3.1 
pp. 181183 
Derivatives of Polynomials and Exponential Functions 


#3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 45, 49 
3.2 
pp. 188190 
The Product and Quotient Rules 


#1, 3, 5, 7, 9, 11, 13, 17, 25, 29, 31, 33, 45, 47 
3.3 
pp. 195197 
Derivatives of Trigonometric Functions 


#1, 3, 5, 7, 9, 15, 19, 21, 23, 31, 39 
3.4 
pp. 205208 
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. 214216 
Implicit Differentiation 


#1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 29, 33 
3.6 
pp. 220221 
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. 237240 
Rates of Change in the Natural and Social Sciences 


#1, 5, 6, 9, 13 
CHAPTER 4 
Differentiation Applications 

4.1 
pp. 260262 
Related Rates 


#1, 3, 5, 7, 9, 11, 15, 17, 21, 23 
4.2 
pp. 268270 
Maximum and Minimum Values 


#1, 3, 5, 7, 9, 11, 13, 33, 35, 37, 43, 45 
4.3 
pp. 279282 
Derivatives and Shapes of Curves and the Mean Value Theorem (MVT) 


#3, 5, 7, 9, 11, 13, 15, 21, 23, 27 
4.5 
pp. 297305 
Indeterminate Forms and L´Hôpital’s Rule 


#1, 3, 5, 7, 9, 11, 17, 19, 31, 69 
4.6 
pp. 306315 
Optimization Problems 


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