ABSTRACT
OF THE BACHELOR’S THESIS QH-2007-S
Specialization: Mathematics Pedagogy
Thesis title: Some applications of the derivative
Student:
Pham Thi Tap
Sex: Female.
Date of birth: 13/02/1989.
Place of birth: Hung Yen.
Supervisor: M.A. Nguyen Thi Thuy Linh.
Training Institution: University of Education, Vietnam National University,
Hanoi
Abstract Contents:
1. Research Objective: Themes provide some form exercise in
application of the derivative which helps explain math homework
derivative applications more effectively.
2. Research Tasks:
- System of a problem on the application of the derivative.
3. Research Methods: Synthesis of all applications of the derivative
tapve System.
4. Research Sources: Ministry of education and training, problemsolving integrals, solving the combination 12, the publisher of
Education (2005); the education and training, textbooks and 11
advanced calculus, the publisher of Education (2008 ); the education
and training, textbook Advanced calculus 12, publisher of Education
(2008), Tran Duc Long, Nguyen Dinh Sang, Hoang Quoc Tuan. set a
curriculum analysis, differential calculus of one variable and
multivariate functions, publisher National University (2005); Tran
Phuong, a collection of specialized college math exam: Functions,
publisher of Hanoi (2008).
Web Pages: http://www.e-thuvien.com/forums/; giaoan.violet.vn;
mathvn.com; tailieu.vn.
5. Important results of the thesis:
- Presentation of some applications of the derivative: Use the
derivative to the survey consider the function as monotonous function,
consider the convex and concave inflection point of the graph
function, use the derivative to find the next line graph of the function
and considering the contact of two curves, using derivatives to find
extreme values, find the maximum value, minimum value of a
function, use the derivative to find the limit of a function ; derivative
used to prove the inequality, the derivative used to solve equations,
simultaneous equations, no equations, no equation system; use
derivatives to a finite sum.
- Give yourself some training exercises on the application of the
derivative.
6. Practical values of the thesis: Help students review and equipped for
the knowledge exam and graduate from college.
Supervisor
M.A. Nguyen Thi Thuy Linh
Student
Pham Thi Tap