Find the absolute maximum and the absolute minimum values of the following functions in the given intervals:

Question

Find the absolute maximum and the absolute minimum values of the following functions in the given intervals: in [1, 9]

Philoid · Accepted Answer

f(x) = (x – 2)

f’(x) =

put

f’(x) = 0

⇒

Now,

f(1) = 0

f(4/3) =

Hence, we can conclude that the absolute maximum value of f is 14 occurring at x = 9 and the minimum value of is occurring at x = 4/3