Let . (a) Find all critical points of . (b) Determine the intervals on which is…
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Let f(x)=x3−6x2+9x+5.
(a) Find all critical points of f.
(b) Determine the intervals on which f is increasing and the intervals on which it is decreasing.
(c) Classify each critical point found in part (a) as a point of local maximum, local minimum or neither, and state the corresponding function values.