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Question

Let f : R → R be a differentiable function satisfying f (x) = f (x – y) f (y) " x, y Î R and f ¢ (0) = a, f ¢ (2) = b then f ¢ (-2) is

  1. fraction numerator a to the power of 2 end exponent over denominator b end fraction    
  2. fraction numerator b to the power of 2 end exponent over denominator a end fraction    
  3. fraction numerator a over denominator b end fraction    
  4. fraction numerator b over denominator a end fraction    

The correct answer is: fraction numerator a to the power of 2 end exponent over denominator b end fraction

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