Hello!(adsbygoogle = window.adsbygoogle || []).push({});

I have a very interesting task, however, at the very beginning I should notice something but... I have a small problem with that ;-].

We have functions:

->sin x,

->5x

->4x7 − 5x3 + 8x

->tan(2x)

I should find their common feature, then find their derivatives and check what do they have in common....

They have different domains, different ranges...

I plotted these function and I have observed:

->f(0)=0 for all these functions

->f(0) does not equal 0 for all their derivatives...

Do you think that this might be the point? Is that a rule that when a function intersects (0,0), its derivative does not?

Or there is something more sophisticated that I cannot see?

Thank you for some hints!

Greetings,

Theriel

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# Homework Help: Common feature of some functions

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