Nội dung text LECTURE NOTES DAY_11 Differential Calculus 2.pdf
MATHEMATICS, SURVEYING, TRANSPORTATION ENGINEERING, AND CONSTRUCTION presented by: Engr. King Justine H. Guardario Kippap Civil Engineering DIFFERENTIAL CALCULUS 2
DAY 11: DIFFERTIAL CALCULUS 2 - APPLICATIONS LECTURE OUTLINE • Differential Calculus Applications • Minima / Maxima • Related Rates Every rate of change leads to progress. Keep differentiating yourself from average!
DAY 11: DIFFERTIAL CALCULUS 2 - APPLICATIONS MAXIMA / MINIMA Every rate of change leads to progress. Keep differentiating yourself from average! This topic involves the optimization of specific quantities like area, distances, time, cost, etc., where there is a given limiting condition. Common examples: - Finding the maximum area of a region with a limited perimeter - Finding the maximum volume of a solid with a fixed amount of covering (surface area) - Finding the shortest route - Finding the maximum value of a function