Maxima And Minima

Step 1: Expressing the function in an alternate form. The given function is: We rewrite it using the identity: Thus, the function can be rewritten as: Step 2: Determining the maximum value. Since the maximum value of is , the maximum value of is: This maximum is attained when: Step 3: Finding in the given domain. Solving for : Since lies within the given domain , the global maximum value is confirmed as . Conclusion: The global maximum value of in the given interval is .