Question

 and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x – 1| at x = 1. If 

Solution

Correct option is

n = 2, m = 2

Clearly p = –1 and

          

                                 

                                   

The last limit is nonzero only if n = 2 and so n/m = 1 ⇒ m = 2.

SIMILAR QUESTIONS

Q1

Which of the following could be not true if 

Q2

Suppose that f(x) = [x], the least integer function then

Q3

  is equal to

Q5
Q6
Q8

 for real and y. If f’(0) exists and equals – 1 and (0) = 1 then the value of f(2) is

Q9

If f : R  R is a function such that (x) = x3 + x2 f’(1) + xf’’(2) + f’’’(3) for x Ïµ R then the value of f (2) is

Q10

If f (x) = |x – 2| and g(x) = f (f (x)), then for x > 20, g’(x) is equal to