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what is the meaning of a derivative

Interpreting the meaning of the derivative in context - Khan ...
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Because in the examples what we were measuring (distance and volume) were changing with respect to time ...
Derivative Definition & Meaning - Merriam-Webster
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Essential Meaning of derivative. 1 : a word formed from another word The word "childish" is a derivative of "child." 2 : something that comes from something else : a substance that is made from another substance Tofu is one of many soybean derivatives. Petroleum is a derivative of coal tar.
Definition of derivative
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•This derivative function can be thought of as a function that gives the value of the slope at any value of x. •This method of using the limit of the difference quotient is also called “ab-initio differentiation” or “differentiation by first principle”. •Note: there are many ways of writing the derivative symbol. Some of
Derivative Definition & Meaning - Merriam-Webster
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Full Definition of derivative ; 1 · formed from another word or base : formed by derivation · word ; 2 · having parts that originate from another source : made up of ...
The meaning of the derivative - An approach to calculus
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To sum up: The derivative is a function -- a rule -- that assigns to each value of x the slope of the tangent line at the point (x, f(x)) on the graph of f(x).
Calculus I - The Definition of the Derivative
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30.05.2018 · Section 3-1 : The Definition of the Derivative. In the first section of the Limits chapter we saw that the computation of the slope of a tangent line, the instantaneous rate of change of a function, and the instantaneous velocity of an object at \(x = a\) all required us to compute the following limit. \[\mathop {\lim }\limits_{x \to a} \frac{{f\left( x \right) - f\left( a \right)}}{{x - a}}\]
Derivative - Wikipedia
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A vector-valued function y of a real variable sends real numbers to vectors in some vector space R . A vector-valued function can be split up into its coordinate functions y1(t), y2(t), ..., yn(t), meaning that y(t) = (y1(t), ..., yn(t)). This includes, for example, parametric curves in R or R . The coordinate functions are real valued functions, so the above definition of derivative applies to them. The derivative of y(t) is defined to be the vector, called the tangent vector, whose coordinates are the …
What is the definition of a derivative? - Quora
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A derivative is an instrument or contract that derives its value from an underlying asset, rate, or anything that has value (even weather and electricity ...
Derivative Definition - investopedia.com
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Oct 30, 2021 · A derivative is a complex type of financial security that is set between two or more parties. Traders use derivatives to access specific markets and trade different assets. The most common...
Derivative - Wikipedia
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Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the ...
The meaning of the derivative - An approach to calculus
https://themathpage.com/aCalc/derivative.htm
To sum up: The derivative is a function -- a rule -- that assigns to each value of x the slope of the tangent line at the point ( x, f ( x )) on the graph of f ( x ). It …
Derivative (mathematics) - Simple English Wikipedia, the ...
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The derivative at the point is the slope of the tangent. In mathematics (particularly in differential calculus ), the derivative is a way to show instantaneous rate of change: that is, the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on a graph.
Derivative Definition - Investopedia
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The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, ...
Derivative Definition
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30.10.2021 · What Is a Derivative? The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark. A derivative is set between two or...
What is a Derivative? – The Math Doctors
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10.08.2020 · The noun for what we are finding is “the derivative “, which basically means “a related function we have derived from the given function”. But the verb we use for that process is not “to derive”, but “to differentiate “, which comes from the “ difference quotient ” on which the derivative is based. The process is called “ differentiation “.
Derivative Definition & Meaning - Merriam-Webster
https://www.merriam-webster.com/dictionary/derivative
The meaning of DERIVATIVE is a word formed from another word. See more meanings of derivative. How to use derivative in a sentence.
Definition of the Derivative - Math24.net
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The derivative of a function at some point characterizes the rate of change of the function at this point. We can estimate the rate of change by calculating the ...
What is a Derivative? – The Math Doctors
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Aug 10, 2020 · The noun for what we are finding is “the derivative “, which basically means “a related function we have derived from the given function”. But the verb we use for that process is not “to derive”, but “to differentiate “, which comes from the “ difference quotient ” on which the derivative is based. The process is called “ differentiation “.
DERIVATIVE | meaning in the Cambridge English Dictionary
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derivative noun [C] (FORM) ... a form of something made or developed from another form: This is a derivative of seaweed that is currently used as ...
Derivative Definition & Meaning | Dictionary.com
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In calculus, the slope of the tangent line to a curve at a particular point on the curve. Since a curve represents a function, its derivative can also be ...