- derivative of a quotient
- производная дроби
Англо-русский технический словарь.
derivative of a quotient
Смотреть что такое "derivative of a quotient" в других словарях:
quotient rule — Rule for finding the derivative of a quotient of two functions. If both f and g are differentiable, then so is the quotient f(x)/g(x). In abbreviated notation, it says (f/g)′ = (gf′ fg′)/g2. * * * … Universalium
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
derivative — derivatively, adv. derivativeness, n. /di riv euh tiv/, adj. 1. derived. 2. not original; secondary. n. 3. something derived. 4. Also called derived form. Gram. a form that has undergone derivation from anoth … Universalium
Derivative (examples) — Example 1Consider f ( x ) = 5:: f (x)=lim {h ightarrow 0} frac{f(x+h) f(x)}{h} = lim {h ightarrow 0} frac{f(x+h) 5}{h} = lim {h ightarrow 0} frac{(5 5)}{h} = lim {h ightarrow 0} frac{0}{h} = lim {h ightarrow 0} 0 = 0The derivative of a constant… … Wikipedia
derivative of a function — the limit if it exists of the quotient of an increment of a dependent variable to the corresponding increment of an associated independent variable as the latter increment tends to zero without being zero … Useful english dictionary
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
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
differential quotient — derivative (def. 6). * * * differential quotient, = differential coefficient. (Cf. ↑differential coefficient) … Useful english dictionary
differential quotient — derivative (def. 6). * * * … Universalium
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
