Question

Total number of critical points of (x) = maximum (sin x, cos x) ∀ x Ïµ (–2π, 2π) equal to   

 

Solution

Correct option is

4

  

           

            

So the critical points lie

When         

  

So, 4 critical points.

SIMILAR QUESTIONS

Q1

Find the point on the curve y = x2 which is closest to the point A(0, a).  

Q2

Find the shortest distance between the line y – x = 1 and the curve x = y2.

Q3

Find the vertical angle of right circular some of minimum curved surface that circumscribes in a given sphere.

Q4

 AB > 0, then minimum value of sec A + sec B is equal to   

 

Q6

(x) = x2 – 4 | | and

               

Then (x) has    

 

Q7

If xy = 10, then minimum value of 12x2 + 13y2 is equal to

Q8

The function f (x) = x (x2 – 4)n (x2 – x + 1), n Ïµ N assumes a local minima at x = 2, then   

Q10