State the extreme point theorem.

Write'the x-coordinate of the extreme point of the function y = cos x + sinx, x in [0,pi/2]

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = (x - 1)^3

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = x + 1/x

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = 60//(x^(4) - x^(2) + 25)