Differentiation Question 282

Question: The derivative of $ f(x)=|x^{2}-x| $ at x = 2 is

[AMU 1999]

Options:

A) - 3

B) 0

C) 3

D) Not defined

Show Answer

Answer:

Correct Answer: C

Solution:

$ f(x)=|x^{2}-x| $

Therefore $ {f}’(x)=2x-1 $

Therefore $ {f}’(2)=3 $ .