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What are derivatives?

What are derivatives? Here are some definitions.

Noun
  1. plural of derivative
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Now, the security for all of these notional values on financial derivatives, is not based on real assets.
The paper draws an analogy between the binomial theorem and the successive derivatives of the product of functions.
The derivatives of purine are called adenine and guanine, and the derivatives of pyrimidine are called thymine, cytosine and uracil.
Phosphoric acid and its phosphate derivatives are essential in human nutrition.
Some varieties of derivatives have irreversibly changed the behavior of the underlying financial markets on which they are based.
The footnote also stated that Hoffmann had arranged for several chemical derivatives of salicylic acid to be examined, not just its acetyl ester.

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