For n Ïµ N, Let  The Left Hand Derivative Of f at x = π/4 Is  

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

For n Ïµ N, let  The left hand derivative of f at x = π/4 is  

Solution

Correct option is

– 2n

For x Ïµ (0, π/4), tan x > x > sin x , thus(x) = 1 – tannx. Also f (π/4) = min  

                   

                   

                                         

                   

SIMILAR QUESTIONS

Q1

The set of all points where the function (x) = x |x| is differentiable is 

Q2

If (2) = 4 and f’(2) = 1, then 

                    

Q3

The set of all points where the function  is differentiable is 

Q4

If f(a) = 2, f’(a) = 1, g(a) = –1 and g’(a) = 2, the value of

                       

Q5

If  is differentiable at x = 0, then

Q6

 

If f’ is differentiable function and f’’(x) is continuous at x = 0 and f’’(0) =a, the value of  

                  

Q7

Let [.] denote the greatest integer function and . Then

Q8

Let f (x + y) = (xf (y) for all x and y. If f (5) = 2 and f’(0) = 3, then f’(5) is equal to

Q9

 

Let f (x) = [x] and

               

Q10

Let

         

The values of the coefficient a and b for which the function is continuous and has a derivative at x0, are