Given f x 2x3 9x2 12x 5 find the absolute maximum value of the function ...

Given , f(x)=2x³ -9x² +12x-5 find the absolute maximum value of the function?

f(x)=2x³  -9x² +12x-5

f’(x)=6x² -18x+12

f’(x)=0

6x² -18x+12=0

X² -3x+2 =0

X² –x-2x+2

x(x-1)-2(x-1)=0

x=1

x=2

in [0,3]

f(1)=0

f(2)=-1

f(0)= -5

f(3)=4

max value 4

By: bhavesh kumar singh