Differential calculus : a mathematical creativity development approach worktext / by Dennis B. Roble. --

Includes bibliographical reference.

Preface iii -- Rubrics for Assessing Students' Mathematical Creativity v -- Chapter 1 Limits and Continuity -- Limits of a Function 3 -- Limit Theorems 13 -- Other Strategies for Evaluating Limits 19 -- One-Sided Limits 27 -- Infinite Limits 35 -- Limits at Infinity 41 -- Continuity of a Function 49 -- Limits of Trigonometric Functions 57 -- Chapter 2: Differentiation 63 -- The Tangent Line and the Derivative 65 -- Theorems of Differentiation 73 -- Derivatives of Trigonometric Function 81 -- Higher Order of Derivatives 87 -- The Chain Rule for Derivatives 93 -- Derivatives of Natural Logarithmic Functions 101 -- Derivatives of Natural Exponential Functions 109 -- Implicit Differentiation 115 -- Chapter 3: Application of Derivatives 123 -- Derivative as an Instanteneoud Rates of Change 125 -- Related Rates 131 -- Curve Sketching 139 -- Optimizing Problems 151 -- References 159

"Mathematics is a very dynamic discipline and is useful in various fields which has led to new applications. The developments and changes equip students with the needed mathematical skills to confidently face challenging and difficult tasks ahead. Students taking science, technology, engineering and mathematics courses needed a well-founded critical thinking skills to meet the challenges of the global market. In response tothe need to help students possess a profound understanding of Calculus and reduce their risk of failing their work text in Calculus was developed." --