Ask
your own question, for FREE!

Mathematics

OpenStudy (loki):

Does the derivative for |x| not exist at 0?

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

@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

OpenStudy (anonymous):

$$f \left( x \right) = \left| x \right|, f \prime(x)$$

OpenStudy (anonymous):

from the right, the function resembles y=x, from the left y=-x

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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!

OpenStudy (anonymous):

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

b1az34:
i need feed back on this story it's due for today There was once a kid named James Afton who was the smartest in his grade.

28 minutes ago
5 Replies
1 Medal

b1az34:
In complete sentences, explain whether or not it makes sense to say the population density of a town is 145 people per block.

4 hours ago
0 Replies
0 Medals

b1az34:
In complete sentences, explain whether or not it makes sense to say the population density of a town is 145 people per block.

5 hours ago
1 Reply
0 Medals

JustALilCat:
u201cAs if..u201d, I growled, looking away, but he lightly touched my chin and angled my face to meet up with his, it made me blush a bit.

1 hour ago
7 Replies
1 Medal

JustALilCat:
u201cHey, umm, please wake up..u201d, I say gently while giving him a hug from underneath his arms.

7 hours ago
7 Replies
2 Medals