Find the point of local maxima or local minima or local minima and the corresponding local maximum and minimum values of each of the following functions:


local max. value is 0 at each of the points x = 1 and x = 1 and local min. value is at

F(x)=-(x-1)32(x+1)-3(x-1)2(x+1)2=0



Since, f||(1) and f||(-1) <0 , 1 and -1 are the points of local max.


F||(-)>0, - is the point of local min.


F(1)=f(-1)=0


Also,


1