Differentiation is used to find the velocity of an object at a particular point.
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It is certainly used in calculus, just as calculus can be used in trigonometry.
yes it is
I don't think such a term is used in calculus. Check the spelling. Perhaps you mean point of inflection?
Issac Newton
Calculus was invented or rather can be detailed as back as 1820 B.C. when the Egyptians used it in order to calculate the volume of the pyramidal frustum