GATE CSE
First time here? Checkout the FAQ!
x
0 votes
129 views

how to solve diffrentiability with standard procedure of f(a+h).

asked in Calculus by Veteran (10.8k points)   | 129 views
ans. is B right??
Yes, B is answer . in answer key 1 and 2 are RhD and LHd but i am getting 1 and 3.
when you check for differentiability, RHD is 3 for sure. it can not be 2 as f'(x) = 3x for x>1 and 1 for x<= 1

so f'(1) = 3 in case of RHD and 1 in case of LHD. as there is one more method by which you were asking to solve but this one is easy and both give same answer, so you are right @rahul.

1 Answer

0 votes



blue line is for x-1
pink is for x^3-1


u can see there is a sharp edge at x=1
so not differentiable.

answered by Veteran (11.6k points)  
edited by


Top Users Sep 2017
  1. Habibkhan

    6338 Points

  2. Warrior

    2220 Points

  3. Arjun

    2158 Points

  4. nikunj

    1980 Points

  5. manu00x

    1726 Points

  6. SiddharthMahapatra

    1718 Points

  7. Bikram

    1716 Points

  8. makhdoom ghaya

    1660 Points

  9. A_i_$_h

    1518 Points

  10. rishu_darkshadow

    1512 Points


25,981 questions
33,556 answers
79,371 comments
31,014 users