then the maximum value of f (θ), is:
∴ f (θ) is maximum and minimum as h(θ) is minimum and maximum respectively.
For maximum and minimum put h’(θ) = 0.
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.
The maximum value of
The values of ‘K’ for which the point of minimum of the function f (x) = 1 + K2x – x3 satisfy the inequality belongs to: