derivative and monotonicity
Chinese equivalent: 导数与单调性
derivative and monotonicity If f'(x) ≥ 0 on an interval I, then f is monotonically increasing on I; if f'(x) ≤ 0, then it is monotonically decreasing.
Syllabus path: Functions › Concepts and Properties of Functions › Monotonicity of Functions
CSCA Exam Prep
This term is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
Practice related questions (8) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Mathematics Exam Glossary
Definition
derivative and monotonicity If f'(x) ≥ 0 on an interval I, then f is monotonically increasing on I; if f'(x) ≤ 0, then it is monotonically decreasing.
Related tutorial and examples
Monotonicity of Functions
Monotonicity of Functions 1. Concept Monotonicity describes the trend of a function's value as the independent variable increases. It is the mathematical expression for whether a graph is "rising" or "falling". Let the domain of function f(x) be D, and let I ⊆ D be an interval. M…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.