Concavity and convexity : if `f\'\'(x) gt 0 AA x in (a,b)` then the curve y=f(x) is concave up ( o
Channel: Doubtnut
Date: 2020-01-26

Concavity and convexity : if `f\'\'(x) gt 0 AA x in (a,b)` then the curve y=f(x) is concave up ( or convex down) in (a,b) and `if f\'\'(x) lt 0 AA x in (a,b)` then the curve y=f(x) is concave down (or convex up ) in (a,b) Inflection point : The point where concavity of the curve changes is known as point of inflection (at inflection point `f\'\'(x)` is equal to 0 or undefined) Number of point of inflection for `f(x) =(x-1)^(3) (x-2)^(2)` is :