(Optimization) Use Newton's method to find the maximum of f(x)= 4sin x(1+ cos x) (xi = n/8,8, = 1% ) Based on the function f(x) given above, answer the following questions:- 1. Solve f (x) and f"(x)...

i need the answer quickly

Extracted text: (Optimization) Use Newton's method to find the maximum of f(x)= 4sin x(1+ cos x) (xi = n/8,8, = 1% ) Based on the function f(x) given above, answer the following questions:- 1. Solve f (x) and f"(x) in detail. 2. Find the maximum value using analytical method.