The Domain Of The Derivative Of The Function            

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

The domain of the derivative of the function

           

Solution

Correct option is

~ {–1, 1}

We have 

            

 so f is not continuous at –1, 1, hence not differentiable at –1, 1. Also

             

Thus the domain of f’ is R ~ {–1, 1}.   

Testing

SIMILAR QUESTIONS

Q1

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

                       

Q2

If  is differentiable at x = 0, then

Q3

 

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

                  

Q4

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

Q5

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

Q6

 

Let f (x) = [x] and

               

Q7

Let

         

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

Q8

Given f’(2) = 6 and f’(1) = 4.  

       

Q9

Let R âŸ¶ R be such that f(1) = 3 and f’(1) = 6. Then

                     

Q10

If (0) = 0, f’(0) = 2 then the derivative of  at x = 0 is