Michael J. answered • 10/30/16
Tutor
5
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Mastery of Limits, Derivatives, and Integration Techniques
Set the derivative of F(x) equal to zero and solve for x.
F'(x) = 0
-csc(x)cot(x) = 0
-(1 / sinx(x))(cos(x) / sin(x)) = 0
-cos(x) / sin2(x) = 0
Set cos(x)=0 and solve for x. These x values are your possible local extremas. Then evaluate F(x) at these local extremas.
Then evaluate the F(x) values at the end boundaries: F(-π/2) and F(3π/2).
Finally compare the end boundary values with the local extrema. The highest extrema value is you absolute maximum. The lowest extrema value is your absolute minimum.
