f(x,y) = (x + y ³) - Sin (x4) (0,0) { 1/₁2 X- 1 (x₁4) = (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 point (0,0), is true ? the a) fy (0,0) exists and is equal to fy (0,0) exists and is equal to 0 d) fx (0,0) does not exist fy 10, 01 exist and its b) fx(0,0) does not exsist equa fy (0,0) exists and equal to O C) FX (010) exists and is equal fy 1010) exists and is aqual 1 e) fx (0, 0) does not exist fy 100 does not exist

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