(*+*)sin- (x,y) (0,0) f(x.y)= X+y (x,y) (0,0) is given. Which of the following statements about the existence of the partial derivatives f(x,y) and fy(x.y) of f(x,y) at the point (0,0), is true? a) fx(0,0) exists and is equal to 0 fy(0,0) exists and is equal to 0 b) fx (0,0) does not exist fy(0,0) exists and is equal to 0 c) fx(0,0) exists and is equal to 0 fy(0,0) exists and is equal to 1 d) fy(0,0) does not exist fy(0,0) exists and is equal to 1 e) f, (0,0) does not exist fy(0,0) does not exist

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.