Let f (x) = xn, n being non-negative integer. Then find the value of n for which the equality f’(a + b) = f ’(a) + f ’ (b) is valid for all, a, b > 0
Find the number of points where f (x) = [sin x + cos x]
(where [.] denotes greatest integral function), x Ïµ [0, 2π] is not continuous.
differentiable function in [0, 2], find a and b. (where [.] denotes the greatest integer function).
Discuss the continuity of the function .
Let f : R → R, such that f’ (0) = 1
and f (x +2y) = f (x) + f (2y) + ex+2y (x + 2y) – x. ex – 2y. e2y + 4xy,
∀ x, y Ïµ R. Find f (x).
If g(x) is continuous function in [0, ∞) satisfying g(1) = 1. If