Let ( f: ℝ² → ℝ ) be defined by ( f((x, y)) = sin(xy) ) for every ( (x, y) ∈ ℝ² ). The value of ( fₓ((1, 0)) ⋅ f{y}((1, 0)) ⋅ fₓₓ((1,0)) ) is:
a) ( -1 )
b) ( 0 )
c) ( 1 )
d) ( cos(1) )