Question

the point zero zero in the domain of f x y equal to sin x y is a point​

Answer 1

Answer:

no it is not a point..................................

Answer 2

the point $(0,0)$ in the domain of $f(x,y)=sinx$ is constant.

Step-by-step explanation:

• find the first derivative of the function with respect to x and y,

        $f_{x} =cosx$ , $f_{y} =0$

• find the seond derivative of the function with respect to x and y,

        $f_{xx} =-sinx$  ,   $f_{yy} =0$

• find the dreivative of $f_{x}$  with respect to y

        $f_{xy} =0$

• find   $f_{xx} . f_{yy} - f_{xy}$

            $-sinx .0-0=0$

         since $f_{xx} . f_{yy} - f_{xy}$$=0$ that means no conclusion is drawn. So, its  

          constant!