﻿   Let f be a function such that  .    . : Kaysons Education

# Let f be A Function Such That  .    .

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## Question

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#### SIMILAR QUESTIONS

Q1

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).

Q2

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

.

Q3

Let f is a differentiable function such that

.

Q4

Let f : R+ → R satisfies the functional equation

.

If f’(1) = e, determine f (x).

Q5

Let f is a differentiable function such that

.

Q6

ind and b so that the function:

Q7

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

Q8

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

Q9

Find the natural number a for which  where the function f satisfies the relation f (x + y) = f (xf (y) for all natural number xy and further f (1) 2.

Q10

Find the derivative of y = log x wrt x from first principles.