The Values Of a and b for Which All The Extrema Of The Function;  is Positive And The Minimum Is At The Point  are:

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) = x^1/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: