Q13 of 292 Page 506

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,


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