Find the points at which the function f given by `f(x) = (x - 2)^(4) (x + 1)^(3)` has
(i) local maxima.
(ii) local minima.
(iii) point of inflection.

Answer

(i) Local maxima at x = 2
(ii) Local minima at `x = (2)/(7)`
(iii) Point of inflection at x = - 1