difference quotient
difference quotient noun: the average rate of change of the function f(x) over the interval [a,,a+h]. As h approaches zero, the value of (f(a+h)-f(a))/h approaches the derivative or instantaneous rate of change of f(x) at x=a.
Noun
difference quotient (plural difference quotients)
- The average rate of change of the function f(x) over the interval [a,,a+h]. As h approaches zero, the value of (f(a+h)-f(a))/h approaches the derivative or instantaneous rate of change of f(x) at x=a.
- The slope of the secant line passing through the points (a,,f(a)) and (a+h,,f(a+h)). As the horizontal distance h>0 between the points approaches zero, the slope of this secant line approaches the slope of the tangent line to f(x) at x=a, which is equal to the derivative of f(x) at x=a.
difference quotient meaning in Tamil
difference quotient in Tamil
- வேறுபாட்டு ஈவு
Forms of difference quotient
| plural | difference quotients |
|---|
Questions about difference quotient
- What does difference quotient mean?
- Difference quotient means the average rate of change of the function f(x) over the interval [a,,a+h]. As h approaches zero, the value of (f(a+h)-f(a))/h approaches the derivative or instantaneous rate of change of f(x) at x=a.
- What is difference quotient in Tamil?
- Difference quotient in Tamil is வேறுபாட்டு ஈவு. See Difference quotient meaning in Tamil.
- What part of speech is difference quotient?
- Difference quotient is a noun.
- What is the plural of difference quotient?
- The plural of difference quotient is difference quotients.
Words near difference quotient in the dictionary
Source and license
Adapted from Wiktionary: difference quotient (page history and authors); difference quotient (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “difference quotient.” Word.ws, https://word.ws/difference_quotient. Based on Wiktionary, CC BY-SA 4.0.
