Question

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

                     

Solution

Correct option is

e2

  

                  

                  

                 

Note the we cannot take the logarithm as the function may take negative values and also the L’ Hospital rule is not applicable.

SIMILAR QUESTIONS

Q1

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

Q2

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

                       

Q3

If  is differentiable at x = 0, then

Q4

 

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

                  

Q5

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

Q6

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

Q7

 

Let f (x) = [x] and

               

Q8

Let

         

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

Q9

Given f’(2) = 6 and f’(1) = 4.  

       

Q10

The domain of the derivative of the function