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Given that F, the inverse of a differentiable function f exists, F' (0) = 1/3, f(1) = 0, F(2) = 0. Find the value of the derivative of the function f at x = 1. 3 O 2 Oo O 1 None of thesedr Let r = tan f(t). where f(0) = 0 andf (0) = -3 . Evaluate at dt t = 0. O-3 O-4 OO None of these 02\ff (h) - f(0) Evaluate lim wheref (x) = x x + 1, for all X. h-0 h O-1 The limit does not exist None of these 02Let f(x) = cos(log3 (x)), x > 0. Find the derivative f (x) O - sin(log3 (x)) x In 3 O sin(10g3 (x)) X O sin(log3 (x)) x In 3 O - sin(log3 (x)) X ONone of these