XII Maths Chapter 6. Application of Derivatives | Page 8

4 . Non-Decreasing Function
f ( x ) is said to be non-decreasing in D1 , if for every x1 , x2 ∈ D1 , x1 > x2 ⇒ f ( x1 ) ≥ f ( x2 ). It means that the value of f ( x ) would new decrease with an increase in the value of x .
5 . Strictly Decreasing Function
f ( x ) is said to be decreasing in D1 , if for every x1 , x2 ∈ D1 , x1 > x2 ⇒ f ( x1 ) < f ( x2 ). It means that there is a certain decrease in the value c f ( x ) with an increase in the value of x .
Classification of Strictly Decreasing Function
6 . Non-increasing Function