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Is it true that when two functions intersect at one point (A), then their derivatives must be equal at A?

 Aug 8, 2021
 #1
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No!  They might simply cross over at that point.

 Aug 8, 2021
edited by Alan  Aug 8, 2021
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Ohh right! Just tested it with some functions, yes it doesn't always work.

But I noticed it works if and only if the functions are tangents to each other at that point ? 

Guest Aug 8, 2021
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"But I noticed it works if and only if the functions are tangents to each other at that point ? "

 

Yes.

Alan  Aug 9, 2021

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