Maxima And Minima

We have,
Maximum or minimum point is given by


Now

is a maximum.point and maximum value of is given by ,

To find the maximum value of , we first differentiate . 1. The function is . 2. Differentiate with respect to using the chain rule: 3. Set to find critical points. This occurs when the numerator is zero, i.e., , solving for , we get . 4. To confirm whether this is a maximum, check the second derivative or use the nature of the function. We find that attains its maximum at , and the maximum value is .