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 −3 at x = 1 and local min. value is −128 at x = 6
F’(x)=6x2-42x+36=0
⇒ 6(x-1)(x-6)=0
⇒x=1,6
F’’(x)=12x-42
F’’(1)<0 ,1 is the pont of local max.
F’’(6)>0, 6 is the point of localmin.
F(1)=2-21+36-20=-3
F(6)=-128
1