MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Let f(x)=x4−4x3+6x2+5 for all real x.
(i) Find f′(x) and solve f′(x)=0 to obtain the x–coordinates of all stationary points.
(ii) Find f′′(x).
(iii) Using your results, determine the nature of each stationary point and give its coordinates.
(iv) Justify that the function has no other stationary points on the real line.