Limits Continuity And Differentiability Question 14
Question: What is the derivative of $ | x-1 | $ at $ x=2 $ ?
Options:
A) -1
B) 0
C) 1
D) Derivative does not exist
Show Answer
Answer:
Correct Answer: C
Solution:
$ f(x)=| x-1 | $ Redefined the function $ f(x) $
$ f(x)= \begin{matrix} 1-x, & x<1 \\ x-1, & x>1 \\ \end{matrix} . $
$ f’(x)= \begin{matrix} -1; & x<1 \\ 1; & x>1 \\ \end{matrix} . $
$ \therefore f’(2)=1 $
BETA
