Q11 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 251 at x = 8 and local min. value is −5 at x = 0

‘}(x)=-3x2+24x=0


⇒ -3x(x-8)=0


⇒ x=0,8


F’’(x)=-6x+24


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


F’’(8)<0, 8 is the point of local max.


F(8)=251 and f(0)=-5


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