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If f(x+y)=f(x) f(y) x y and f(5)=2, f^ (0)=3 then f^ (5) is

Options

  1. A0
  2. B1
  3. C6
  4. D2

Correct answer

C. 6

Step-by-step solution

f(x+y)=f(x) f(y) Differentiate with respect to x , treating y as constant f^ (x+y)=f(x) f(y) Putting x=0 and y=x , we get f^ (x)=f^ (0) f(x) ; f^ (5)=3 f(5)=3 2=6

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