Question

The function f(x) = x2 – 8x + 12 is positive on (0, 2) and (6, 10) and negative on (2, 6). Find the area of the region bounded by f(x), the x-axis, and the vertical lines x = 0 and x = 10​

Answer 1

Answer:

Step-by-step explanation:

f(x)=x^2-8x+12

f'(x)=2x-8

If f'(x)=0

2x-8=0

x=4

therefore, x belongs to (2,6)

According to Rolles theorem

f'(c)=0 then 4 belongs to (2,6)

Hence Rolles theorem verified