f(x)=x^(2)-6x^(3)+9x+15

Find the intervals in which f(x)=x^(3)-6x^(2)+9x+15 is increasing or decreasing.

Find the intervals in which the following functions are (a) increasing (b) decreasing : f(x)=x^(3)-6x^(2)+9x+15

Find the points of local maxima or local minima,if any,using first derivative test,and local maximum or local minimum of f(x)=x^(3)-6x^(2)+9x+15

Find the local maxima and local minima, if any, of the followig functions. Find also the local maximum and the local minimum values, as the case may be : f(x)=x^(3)-6x^(2)+9x+15

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x^(3)-6x^(2)+9x+15. Also, find the points of inflection,if any:

Let f(x)=x^(3)-6x^(2)+9x+18 , then f(x) is strictly decreasing in :