(iii)
If f ′(x) does not change sign as x increases through c, then c is neither a point of
local maxima nor a point of local minima Infact, such a point is called point of
inflection (Fig 6 13) Rationalised 2023-24
APPLICATION OF DERIVATIVES
165
ANote  If c is a point of local maxima of f , then f (c) is a local maximum value of
f