The maximum value of
, represents the square of the distance between circle and point
i.e., maximum distance between x2 + y2 – 4x + 3 = 0 and (5, –4) square
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
Use the function f (x) = x1/x, x > 0 to determine the bigger of the two numbers.
then the maximum value of f (θ), is: