for All Real x and y. If f ’ (0) Exists And Equals To –1and f (0) = 1, Find f ’(x).

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Question

 for all real x and y. If f ’ (0) exists and equals to –1and f (0) = 1, find f ’(x).

Solution

Correct option is

f ’(x) = – 1

Putting y = 0 and (0) = 1 in (i), we have,

          

   

                       

                       

                    

                       

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