$Continuity$ $\&$ $Differentiability$

what is the probability that a continuous function is non differentiable at $n$ points ? where $n$ $\in$ $N$

please give explanation for the same .(or tell me if i am asking a wrong question and give suggestion to correct it) hope a help from sir Calvin Lin , Arron kau or any other expert . Also if anyone can, please answer too .

#Calculus #Continuity #Differentiability

Easy Math Editor

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Comments

I think it will not have an exact value rather it would depend on the function and i think that the probability will be n/ total critical points in the function including points of non differentiability

Rohan Mehrotra - 7 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

ContinuityContinuityContinuity &\&& DifferentiabilityDifferentiabilityDifferentiability

Comments

$Continuity$ $\&$ $Differentiability$