Question

Let

         

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

Solution

Correct option is

For f to be continuous everywhere, we must have

           

                            

                                                                                                                                              

                            

                            

                           

That is, a = 2x0, and hence   

SIMILAR QUESTIONS

Q1

If (2) = 4 and f’(2) = 1, then 

                    

Q2

The set of all points where the function  is differentiable is 

Q3

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

Given f’(2) = 6 and f’(1) = 4.