Englisch Beispielsätze mit "derivatives"

Maths. Homework's about derivatives, but I really can't seem to cope with it.
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If you gamble on the stock market, you are an investor... If you gamble on the derivatives market, you are a trader... If you gamble at the casino, you are a loser... Morality?
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The derivatives of the inverse trigonometric functions are algebraic.
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The derivatives of space with respect to time are velocity, acceleration, and jerk.
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The derivatives of distance with respect to time are velocity, acceleration, and jerk.
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So-called "foreign" words, i.e. those which the majority of languages have taken from one source, are used in Esperanto without modification, acquiring only Esperanto spelling; but when faced with a number of words derived from one root, it is better to leave only the fundamental word unmodified and from this create the derivatives according to the rules of Esperanto.
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Differential equations are equations involving derivatives.
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Salicylates come from salicylic acid and its derivatives.
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Find the derivatives.
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The gradient of a scalar-valued function of several variables is the vector which contains its partial derivatives with respect to each of its variables (when these derivatives exist).
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L'Hôpital's rule uses derivatives to help evaluate limits involving indeterminate forms.
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If you can show directly that this function's complex derivatives exist everywhere in its domain, then you can conclude that it's holomorphic.
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