April 2025
Intermediate to advanced
616 pages
25h 43m
English
book
Pearson JEE Main Mathematics Vol 2 – 2026 | As Per NTA Syllabus | 2021 to 2025 Solved Previous Years’ Questions | 5000+ Topic-wise, Miscellaneous and Numerical–Based ... Papers on MyInsights | 2nd Edition
by Gavesh Bharadwaj
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6 Application of Derivatives
MONOTONICITY
INTRODUCTION
In this chapter, we shall study the nature of a function which is governed by the sign of its derivative. If the graph of a function is in upward going direction or in downward coming direction then it is called as monotonic function, and this property of the function is called monotonicity. If a function is defined in any interval, and if in some part of the interval, graph moves upwards and in the remaining part moves downward then function is not monotonic in that interval.
MONOTONIC FUNCTION
There are two types of monotonic function.
Monotonic Increasing
A function f(x) defined in a domain D is said to be monotonic increasing function if the value of f(x) does not decrease (increase) ...
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