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Derivative - Wikipedia
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object
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Xem thêmDifferentiation is the action of computing a derivative. The derivative of a functiony = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. It is called the
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Xem thêmIf f is differentiable at a, then f must also be continuous at a. As an example, choose a point a and let f be the step functionthat returns the value 1 for all x less than a, and returns a different value
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Xem thêmLet f be a function that has a derivative at every point in its domain. We can then define a function that maps every point x to the value of the derivative of f at x. This function is written f′ and is
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Xem thêmLet f be a differentiable function, and let f ′ be its derivative. The derivative of f ′ (if it has one) is written f ′′ and is called the second derivativeof
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Xem thêmRelative to a hyperreal extension R ⊂ R of the real numbers, the derivative of a real function y = f(x) at a real point x can be defined as the
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Xem thêmVector-valued functions
A vector-valued function y of a real variable sends real numbers to vectors in some vector spaceR...
Xem thêmLeibniz's notation
The symbols , , and were introduced by Gottfried Wilhelm Leibniz in 1675. It is still commonly used when the equation y = f(x) is viewed as a functional relationship between dependent and independent variables....
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In finance, a derivative is a contract that derives its value from the performance of an underlying entity. This underlying entity can be an asset, index, or interest rate, and is often simply called the "underlying". Derivatives can be used for a number of purposes, including insuring against price movements (hedging), increasing exposure to price movements for speculation, or getting access to …
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Derivative - Simple English Wikipedia, the free encyclopedia
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