what is the difference between differentiate and derivate?

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what is the difference between differentiate and derivate?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Differentiation is a process. Derivative is the result obtained from differentiation. \[y = 2x ^{3}\] \[\frac{dy}{dx} = 6x ^{2}\] is the derivative obtained by differentiation.
thank you .sam
He asked what the difference was between the words "differentiate" and "derivate". Those two words are simply synonyms for the command "Take the derivative of a given function".

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@SOMU.kvp
I do not think there is a word called derivate
In calculus, we do use the word derivative. I believe the asker had a typo
@rivermaker http://www.onelook.com/?w=derivate&ls=a

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