Using calculus, find the order relation between x and tan-1x when
None of these
Thus f (x) is increasing function.
(As, we know x1 ≤ x2 ⇒ f (x1) ≤ f (x2) for increasing function).
Thus, the above is order relation between x and tan-1x.
If f (x) = ax3 + bx2 + cx + d where a, b, c, d are real numbers and 3b2 < c2, is an increasing cubic function and g(x) = af’ (x) + bf’’ (x) + c2, then
If f : R → R, f (x) is a differentiable bijective function, then which of the following is true?
If f (x) and g (x) are two positive and increasing function, then
If the function y = sin (f (x)) is monotonic for all values of x (where f (x) is continuous), then the maximum value of the difference between the maximum and the minimum value of f (x), is:
where 0 <x < π then the interval in which g(x) is decreasing is:
Find the critical points for f (x) = (x – 2)2/3 (2x + 1).
Find all the values of a for which the function possess critical points.
Using calculus, find the order relation between x and tan-1x when x Ïµ [0, ∞).
The set of all values of ‘b’ for which the function f (x) = (b2 – 3b + 2) (cos2x – sin2x) + (b – 1) x + sin 2 does not possesses stationary points is: