SOLUTION: use calculus to find the max and min of x - 2*cos(x) for the interval -2<= x <= 0

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Question 289780: use calculus to find the max and min of
x - 2*cos(x)
for the interval -2<= x <= 0

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
To find extrema, take the derivative and set it equal to zero.






.
.
.

and
From the graph, the maximum occurs at ,


or approximately

.
.
.
As you can see from the graph, solving for x only gives you the relative minimum and not the absolute minimum.
The absolute minimum occur at the endpoints.

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