Calculus 1 / Christopher Santos Vicencio, Rommel Cruz Sanqui, and Joy Cosme G. Amores, Jr.

Includes bibliographical references.

Functions -- Derivative of a function -- Differentiation of algebraic functions -- Higher derivative -- Implicit differentiation -- Parametric equations -- Tangents and normal lines -- Increasing and decreasing functions -- Applications of maxima and minima -- Time rates -- Derivatives of trigonometric functions -- Derivatives of logarithmic and exponential functions -- The hyperbolic functions.

Calculus has always been an interesting subject. The applications of learned theories and practices for solving mathematical problems in othe areas are imperative to arrive at a precise solution of the subject. Nowadays, Calculus is considered by many students and aspiring professionals in the field of engineering and mathematics as their tool in achieving their goals and become lincensed specialists. The purpose of Calculus I is to present the fundamentals and applications of differentiation in a comprehensive and accurate manner. In accomplishing this purpose, complete illustrations of problems and solutions are hereby offered. Most of the solved problems are guided by ste-by-step procedures and discussions to arrive at acurate answers and better understanding.