Consider the function

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

f(x)=x^{3}-6x^{2}+9x+5

. Classify the critical point of

f

that occurs at

x=1

. (a) Local minimum (b) Point of inflection (c) Local maximum (d) Saddle point (neither a local maximum nor a local minimum)