Use the function f (x) = x1/x, x > 0 to determine the bigger of the two numbers.
Taking log on both sides we have
Differentiating both sides we have
or x = e
'f ' has a maximum at x = e.
But x = e is the only extreme value.
∴ f has the greatest value at x = e
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.
Then find the value of ‘a’ for which f (x) has local minimum at x = 2.
Discuss maxima and minima.
A cubic f (x) vanishes at x = –2 and has relative maximum/minimum x = –1 and Find the cubic f (x).
Find the maximum and minimum value of
The maximum value of