For a point of inflection of y= f(X) which one of the following is correct ?

Options

A. `(dy)/(dx)` must be zero
B. `(d^(2)y)/(dx^(2))` must not be zero
C. `(dy)/(dx)` must be non zero
D. `(d^(2)y)/(dx^(2))` must be zero

Answer

D

Explanation

Let y=f(x)
now for a point of inflectioin of y =f(x)
`(d^(2)y)/(dx^(2))` must be zero