Determine the slope of the tangent line of the following equation at x=0 and x=1. The equation is f(x)=(-2x)/(x2+1). Which of the following options correctly states the slope at each point?

A) The slope is -2 at x=0 and 0 at x=1.
B) The slope is 0 at x=0 and -2 at x=1.
C) The slope is -2 at x=0 and -2 at x=1.
D) The slope is 0 at x=0 and 0 at x=1.