Differentiation Question 295
Question: The derivative of $ f(x)=|x{{|}^{3}} $ at $ x=0 $ is
[RPET 2001; Kurukshetra CEE 2002]
Options:
0
1
-1
D) Not defined
Show Answer
Answer:
Correct Answer: A
Solution:
$ f(x)=|x|^{3} $
Therefore $ {f}’(x)=3|x|^{2}\frac{d}{dx}|x| $
At $ x=0 $ , $ {f}’(x)=0.\frac{d}{dx}|x| $ , $ {f}’(x)=\text{undefined} $ .
 BETA
  BETA 
             
             
           
           
           
          