difference quotient for a derivative

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• Difference quotient — The primary vehicle of calculus and other higher mathematics is the function. Its input value is its argument, usually a point ( P ) expressible on a graph. The difference between two points, themselves, is known as their Delta (ΔP), as is the… …   Wikipedia

• Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) …   Wikipedia

• Quotient rule — In calculus, the quotient rule is a method of finding the derivative of a function that is the quotient of two other functions for which derivatives exist. If the function one wishes to differentiate, f(x), can be written as :f(x) =… …   Wikipedia

• Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …   Wikipedia

• Difference operator — In mathematics, a difference operator maps a function, f ( x ), to another function, f ( x + a ) − f ( x + b ).The forward difference operator :Delta f(x)=f(x+1) f(x),occurs frequently in the calculus of finite differences, where it plays a role… …   Wikipedia

• Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

• Logarithmic derivative — In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where f ′ is the derivative of f. When f is a function f(x) of a real variable x, and takes real, strictly… …   Wikipedia

• Partial derivative — In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).… …   Wikipedia

• Chain rule — For other uses, see Chain rule (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

• Fundamental theorem of calculus — The fundamental theorem of calculus specifies the relationship between the two central operations of calculus, differentiation and integration.The first part of the theorem, sometimes called the first fundamental theorem of calculus, shows that… …   Wikipedia

• Product rule — For Euler s chain rule relating partial derivatives of three independent variables, see Triple product rule. For the counting principle in combinatorics, see Rule of product. Topics in Calculus Fundamental theorem Limits of functions Continuity… …   Wikipedia