Let $f ( x , y ) = \sin x + \sin y + \cos ( x + y )$ in the square S bounded by $0 \leq x \leq \pi , 0 \leq y \leq \pi$ .Then $\left( \frac { \pi } { 6 } , \frac { \pi } { 6 } \right)$ is a critical point.What kind of critical point is it?
A)local maximum
B)local minimum
C)saddle point
D)none of these

Question

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The Answer of Let $f ( x , y ) = \sin x + \sin y + \cos ( x + y )$ in the square S bounded by $0 \leq x \leq \pi , 0 \leq y \leq \pi$ .Then $\left( \frac { \pi } { 6 } , \frac { \pi } { 6 } \right)$ is a critical point.What kind of critical point is it?
A)local maximum
B)local minimum
C)saddle point
D)none of these

Let f(x,y)=sin⁡x+sin⁡y+cos⁡(x+y)f ( x , y ) = \sin x + \sin y + \cos ( x + y )f(x,y)=sinx+siny+cos(x+y)

Let $f ( x , y ) = \sin x + \sin y + \cos ( x + y )$