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Concavity and convexity : if f''(x) ...

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 :

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
C
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