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f(x,y)=sin(2x)sin(y) intervals for x and y: -π/2 ≤ x ≤ π/2 and -π ≤ y ≤...

f(x,y)=sin(2x)sin(y)

intervals for x and y:

-π/2 ≤ x ≤ π/2 and -π ≤ y ≤ π

find extrema and saddle points

In the solution, I mainly interested how to findcritical points in case of the system of trigonometric equations (fx=0 and fy=0).
,

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