Then find the value of ‘a’ for which f (x) has local minimum at x = 2.
a ≤ –1 or a ≥ 10
f (x) has local minima at x = 2.
Since, f (x) = 2x – 3 for x ≥ 2 (is strictly increasing)
(a + 1)(a – 10) ≥ 0
a ≤ –1 or a ≥ 10.
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, ∞).
Using calculus, find the order relation between x and tan-1x when
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:
Find the local maximum and local minimum of f (x) = x3 + 3x in [–2, 4].
The function has a local maximum at x =
Find the set of critical points of the function
Let f (x) = sin x – x on [0, π/2], find local maximum and local minimum.
Discuss maxima and minima.