Question

Asked Oct 27, 2019

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Let f(x,y)= 3+cos(x) sin(2y)

a) Show that the function has a stationary point at (0,Pi/4).

b) Is (0, Pi/4) a local maximum, minimum or saddle point? Justify your answer mathematically.

Step 1

To analyze the critical point (0,pi/4) of the given function of two variables

Step 2

By definition, a stationary point is where both partial derivatives are 0. a) is verified ,as shown. (suffixes denote partial derivatives).

Step 3

b) to analyze further, we need the criter...

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