In the classic textbook Differential and Integral Calculus by Florentino T. Feliciano and Fausto B. Uy,
In this section, the authors discuss how to use derivatives to sketch the graph of a function. They provide several examples, including: In the classic textbook Differential and Integral Calculus
The authors discuss the application of derivatives to optimization problems. They provide several examples, including: The First Derivative Test Chapter 4 of Feliciano
By the end of this chapter, you should be able to derive trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant) and solve basic application problems (slopes, rates of change, velocity). emphasizing methods for finding derivatives
Chapter 4 of Feliciano and Uy’s Differential and Integral Calculus presents core techniques and applications of differentiation, emphasizing methods for finding derivatives, interpreting them graphically and physically, and using them to solve optimization and related-rates problems.
In this section, the authors discuss how to find the equations of tangent and normal lines to a curve. They provide the following formulas: