The values of a and b for which all the extrema of the function; is positive and the minimum is at the point are:
None of the above
For extrema, f’(x) = 0
So their arises two cases as:
Case I: At a = 3, if function attains minimum and is positive.
Case II: at a = –2, if function attains minimum and is positive.
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
then the maximum value of f (θ), is:
The values of ‘K’ for which the point of minimum of the function f (x) = 1 + K2x – x3 satisfy the inequality belongs to:
be the differential equation of a curve and let P be the point of maxima then number of tangents which can be drawn from P to x2 – y2= a2 is/are: