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Yes, it has to be zero because the derivative must change sign. Same for minima.

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Q: Do derivatives at local extrema need to have a certain value?
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Define maximam and minima of a function?

That refers to the highest and lowest value of a function. A "local maximum" (or local minimum) refers to a value that is higher than any near-by value, for a certain neighborhood.


What best describes an extreme value of a polynomial?

An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.


How derivatives are helpful to find the behavior of graph of function'?

(1) Derivatives are useful tools for providing information about the behaviour of the graph.(2)Derivatives helps to measure the steepness of the graph.(3)Derivatives gives us information wether the graph is increasing or decreasing.(4) Derivatives Helps us to determine maximum,minimum value,and crital pointsof graph. hope it will help Kalim Raja


What is the definition of the Minimum of a function in Alegbra?

A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.


What is extreme in math?

I believe the correct term is "extrema" not "extreme." But anyway, extrema are the lowest or highest points on a graph. All other points are higher than the minima, and all other points are lower than the maxima. In the graph y=x2, (0, 0) is the minima because that is the lowest extent of the range of that graph. There is no maxima because the y value will increase to infinity.

Related questions

Define maximam and minima of a function?

That refers to the highest and lowest value of a function. A "local maximum" (or local minimum) refers to a value that is higher than any near-by value, for a certain neighborhood.


What best describes an extreme value of a polynomial?

An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.


What is types of derivatives?

The common derivatives in the market are futures contracts, options and swaps. A futures contract is a contract between two or more parties to trade a certain asset at a specified date in the future at the price agreed on today. Swaps are contracts to exchange cash on or before a certain future date. Cash is exchanged based on the underlying value of commodities, stocks, exchange rates or other such assets Options give the owner the right but not the obligation to buy or sell an asset. The sale takes place at a certain price called the strike price. This price is specified when the parties enter into the contract. This contract will also specify a maturity date. There are five major classes of underlying assets. These are interest rate derivatives, foreign exchange derivatives, credit, equity and commodity derivatives.


How derivatives are helpful to find the behavior of graph of function'?

(1) Derivatives are useful tools for providing information about the behaviour of the graph.(2)Derivatives helps to measure the steepness of the graph.(3)Derivatives gives us information wether the graph is increasing or decreasing.(4) Derivatives Helps us to determine maximum,minimum value,and crital pointsof graph. hope it will help Kalim Raja


What are derivative trades?

Derivatives are financial instruments that derive their price and values from their underlying asset. Examples of derivatives are options and futures. Both options and futures derive their value from their underlying stocks. Trading derivatives means buying options or futures instead of the stocks itself mainly for leverage.


What is derivatives in terms of finance..?

In finance, a derivative is a financial instrument (or, more simply, an agreement between two parties) that has a value, based on the expected future price movements of the asset to which it is linked-called the underlying asset-such as a share or a currency. There are many kinds of derivatives, with the most common being swaps, futures, and options. Derivatives are a form of alternative investment. A derivative is not a stand-alone asset, since it has no value of its own. However, more common types of derivatives have been traded on markets before their expiration date as if they were assets. Among the oldest of these are rice futures, which have been traded on the Dojima Rice Exchange since the eighteenth century. Derivatives are usually broadly categorized by: * the relationship between the underlying asset and the derivative (e.g., forward, option, swap); * the type of underlying asset (e.g., equity derivatives, foreign exchange derivatives, interest rate derivatives, commodity derivatives or credit derivatives); * the market in which they trade (e.g., exchange-traded or over-the-counter); * their pay-off profile. Another arbitrary distinction is between: * vanilla derivatives (simple and more common); and * exotic derivatives (more complicated and specialized).


What is the definition of the Minimum of a function in Alegbra?

A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.


What is extreme in math?

I believe the correct term is "extrema" not "extreme." But anyway, extrema are the lowest or highest points on a graph. All other points are higher than the minima, and all other points are lower than the maxima. In the graph y=x2, (0, 0) is the minima because that is the lowest extent of the range of that graph. There is no maxima because the y value will increase to infinity.


What are derivatives in economics?

Derivatives are securities whose value is derived from the some other time-varying quantity. Usually that other quantity is the price of some other asset such as bonds, stocks, currencies, or commodities. It could also be an index, or the temperature. Derivatives were created to support an insurance market against fluctuations. source:www.economics.about.com


How often the value of a random variable is at or below a certain value?

How often the value of a random variable is at or below a certain value.


What is deravaties?

Derivatives are financial instruments that normally peg their value to another financial instrument. For example, an option or a future is a derivative because it gets its value from a stock or bond.


What is the difference between face value and local value of 5 in the numeral12345678?

It has a face value of 5 but a local value of 5000