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Exercises and solutions to selected problems

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Topic(s)

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Suggested problems from textbook  

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Supplementary problems
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Review of limits and continuous functions

2.1 #1-16

2.2 #1-50

2.4 #1-42

2.5 #1-30

Exercises Limit and Continuity
Solution

- Derivative of functions of one variable
- Interpretations of derivatives in geometry, physics and engineering

3.1 #1-22

3.2 #1-22

3.4 #1-13, 15, 16, 18

Exercises Derivative of Function of One Variable
Solution

Exercises Rate of Change
Solution

- Differentiation formulas for elementary functions and chain rule

- Higher derivatives

3.3 #1-52
Solution

Derivatives of Trigonometric Functions

3.5 #1-38

The Chain rule

3.6 #1-86

Implicit differentiation

3.7 #1-40
Solution

Exercises Chain Rule, Implicit & Higher Order
Solution

Derivatives of Inverse functions and Logarithms

3.8 #7-8, 11-96

Solution

Inverse Trigonometric functions

3.9 #21-42

Solution

Related rates

3.10 #20, 23(a), 39

Solution

Exercises Related Rate
Solution

Linearization and differentials

3.11 #1-44 
Solution

Exercises Differential Estimates of Change
Solution

Local extreme values of functions
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4.1 #1-13, 45-52, 53-68 (local only), 69-78

Exercises Extreme Values
Solution

The Mean Value Theorem

4.2 #1-16 Solution

 

Indeterminate Forms and L’Hôpital’s Rule

4.5 #1-77 Solution

2.6 #1-62 Solution

 

Newton’s method

4.7 #1-8, 19-26
Solution

Exercises Newton's Method
Solution

Taylor series expansion of elementary functions and approximation

10.8 #1-18, 21-32
Solution

 

 

 

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