MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Consider the polynomial function f(x)=x3−6x2+9x+5.
(i) Find all stationary points of f.
(ii) Determine, with justification, whether each stationary point is a local maximum or a local minimum.
(iii) Which stationary point gives the greater value of f? State that value.