Let f : R+ → R satisfies The Functional Equation             .   If f’(1) = e, Determine f (x).

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Correct option is

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SIMILAR QUESTIONS

Q1

 

  

differentiable function in [0, 2], find a and b. (where [.] denotes the greatest integer function).

 

Q2

Discuss the continuity of the function .

Q3

 

Let f : → R, such that f’ (0) = 1

and f (x +2y) = f (x) + f (2y) + ex+2y (x + 2y) – x. ex – 2y. e2y + 4xy

∀ xy Ïµ R. Find f (x).

Q4

 

If g(x) is continuous function in [0, ∞) satisfying g(1) = 1. If

     .

Q5

 

Let f is a differentiable function such that 

            .

Q6

 

Let f is a differentiable function such that   

     .

Q7

 

Let f be a function such that  .   

.

Q8

 

ind and b so that the function:    

                   

 

Q9

 is continuous at x = 0, find the values of Aand B. Also find f (0).

Q10

Determine the form of g(x) = f (f (x)) where f (x and hence find the point of iscontinuity of g, if any.