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Mathematics Question on Application of derivatives

Which one of the following is harmonic function

A

f(x,y)=x2−y2−2xy−2x+3yf(x,y) = x^2-y^2-2xy-2x+3y

B

f(x,y)=x3+y3f(x, y) = x^3+ y^3

C

f(x,y)=x4+y4−xyf(x, y)=x^4+y^4-xy

D

f(x,y)=x2+y2+2xyf(x, y) = x^2+ y^2+2xy

Answer

f(x,y)=x2−y2−2xy−2x+3yf(x,y) = x^2-y^2-2xy-2x+3y

Explanation

Solution

The correct option is(A)