Question

Find the absolute extrema of the function on the closed interval. 2x + 5 cos x, [0,2pi]

Answer 1

Take the derivative, set it equal to zero, then take that point and plug it into the second derivative which will tell you if it is a max or min. Max if it is negative and min if it is positive. Then, take the point and plug it into the main equation for the other point.

Answer 2

also, because this is a closed interval, you need to evaluate at the endpoints then compare...