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The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional to

  1. x$^{-1}$
  2. x$^{2}$
  3. x$^{3}$
  4. x$^{4}$

 

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