The linearization L ( x , y ) of the function f ( x , y ) = y + sin ( x y ) at the point (0,3) and explain the reason why the given function is differentiable at the point (0,3).

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To find: The linearization
L(x,y) of the function
f(x,y)=y+sin(xy) at the point (0,3) and explain the reason why the given function is differentiable at the point (0,3).

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