For what value of x is the function fx x3 2x2 x 5 a maxi

For what value of x is the function f(x) = x³ – 2x² + x – 5 a maximum?

a. -5

b. 0

c. 1/3

d. 1

Solution

differentiate df/dx

df/dx= 3x2-4x+1=0

x=1,.033
.33= 1/3

now putting the both values of x in equation.
ans option c. 1/3