Differentiation Question 295
Question: The derivative of $ f(x)=|x{{|}^{3}} $ at $ x=0 $ is
[RPET 2001; Kurukshetra CEE 2002]
Options:
A) 0
B) 1
C) -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)=0 $ .