- #1

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I know there is a vertical tangent at the origin and therefor not differentiable, but I'm not sure how to say it in analysis.

I have tried using caratheodry but it doesn't seem to get me anywhere

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- Thread starter Punkyc7
- Start date

- #1

- 420

- 0

I know there is a vertical tangent at the origin and therefor not differentiable, but I'm not sure how to say it in analysis.

I have tried using caratheodry but it doesn't seem to get me anywhere

- #2

- 22,129

- 3,297

[tex]\lim_{h\rightarrow 0}\frac{f(h)-f(0)}{h}[/tex]

What is that derivative? Does it exist?

- #3

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Anyways

if I take the derivative I get

1/3 x^(-2/3)

if x goes to 0 is undefined... But how do you say that in math talk

- #4

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- #5

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- #6

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Do note that you take the limit in 0, so you can take x=0. This simplifies a whole lot.

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