Question

explain the concepts of increasing and decreasing functions , using geometrical significance of dy/dx . Illustrate with proper examples .

Answer 1

${\huge{\underline{\large{\mathbb{ \green{VERIFIED \: ANSWER}}}}}}$

Definition of an Increasing and Decreasing Function

Let y=f(x) be a differentiable function on an interval (a,b). If for any two points x1,x2∈(a,b) such that x1<x2, there holds the inequality f(x1)≤f(x2), the function is called increasing (or non-decreasing) in this interval.