If f (x) = |4 x – x2 – 3| when x ∈ \[0, 4] then | MATH - ROLLE'S THEOREM, LAGRANGE'S MEAN VALUE THEOREM | SolveeIt | Solveeit

Today, August 18

Question

If f (x) = |4 x – x² – 3| when x ∈ [0, 4] then

A

x = 1 is a global maximum

B

x = 3 is a global maximum

C

x = 2 is a local maximum

D

None of these

Answer

x = 2 is a local maximum

Explanation

Solution

Clearly, x = 1, 3 are the points of global minimum (values being equal) and x = 0, 4 are the points of global maximum (values being equal) and x = 2 is a local maximum