Differentiation Question 229
Question: The derivative of $ y=1-|x| $ at $ x=0 $ is
[SCRA 1996]
Options:
A) 0
B) 1
C) -1
D) Does not exist
Show Answer
Answer:
Correct Answer: D
Solution:
$ y=f(x)= \begin{cases} & 1-x\ ,\ x>0 \\ & 1+x,x<0 \\ \end{cases} .\Rightarrow f’(x)= \begin{cases} & -1,x>0 \\ & 1,x<0 \\ \end{cases} . $
$ \because L[f’(0)]\ne R[f’(0)] $ ;
$ \therefore $ $Does not exist.
BETA
