Ask
your own question, for FREE!
Mathematics
17 Online
Does the derivative for |x| not exist at 0?
Still Need Help?
Join the QuestionCove community and study together with friends!
@loki, you should consider the derivative from the left side and the derivative from the right side. consider those, then reconsider the idea of derivative of |x| at 0
$$f \left( x \right) = \left| x \right|, f \prime(x)$$
from the right, the function resembles y=x, from the left y=-x
Yes, the derivative of |x| does not exist at zero, look guy when we draw the graph of it you will have a sharp point at the origin differentiability guarantees the smooth points remember the surface of the jack fruit.
you can draw as many tangent line at x=0, that's why at x=0,|x| is not differentiable.
Still Need Help?
Join the QuestionCove community and study together with friends!
The derivative does not exist at sharp corners or cusps
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Subshilava:
I have an issue my mom bought me a 3d cat mold from tj maxx and everytime I fill
1UPSA:
CAN YALL RATE MY SONG https://www.youtube.com/watch?v=b9QtAeJPeOM&list=RDMMnhCC1y
ShikuniShigana:
Alright so. I need some art ideas, or Drawing design ideas for this Character im doing, He's Kinda like based off Vita Carnis+Shefki Shin+Death Angel(From Q
gelphielvr:
hello :] I have to make a model for my biology class for either topic "evolution"
SnowyBreaks:
Question for the staff here, Could you possibly change my name. I'll dm the name
SsTDOGRednek:
Could someone read my essay and give me some criticism?
Yosad930:
still speed studying for dual enrollment macroeconomics, and a few quick question
gelphielvr:
I have a presentation to do In Front of like 50 people does anyone have any tips
6 minutes ago
15 Replies
2 Medals
12 hours ago
3 Replies
0 Medals
15 hours ago
16 Replies
2 Medals
17 hours ago
15 Replies
2 Medals
1 day ago
2 Replies
0 Medals
12 hours ago
39 Replies
4 Medals
1 day ago
5 Replies
1 Medal
1 day ago
6 Replies
1 Medal