MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Consider the polynomial f(x)=x3−6x2+9x+5.
(i) Find f′(x) and hence determine all critical points of f.
(ii) Compute f′′(x) and use it to classify each critical point obtained in part (i) as a point of local maximum or local minimum.
(iii) Calculate the corresponding maximum and minimum values of the function.