Application of deravatives in Real life ...

Application of deravatives in Real life ....

Meaning of derivatives.... Derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations. In general, scientists observe changing systems (dynamical systems) to obtain the rate of change of some variable of interest, incorporate this information into some differential equation, and use integration techniques to obtain a function that can be used to predict the behaviour of the original system under diverse conditions...........................

History of deravatives ...... The concept of derivative then developed gradually, together with the ideas of extrema , tangent, area, limit, continuity, and function, and it interacted with these ideas in some unexpected ways. In the latter third of the seventeenth century, Newton and Leibniz, each independently, invented the calculus..

Real life application of deravatives ..............

Auto mobiles ............ In an auto mobiles there is always an odometer and allow the driver to determine his speed and this distance that he has travelled electronic version of data gauges simply use derivatives to transform the data send to the electronic mother board from the tires to miles per hour (mph)& distance (km)............

Radar guns........... All police officers are who used radar guns are actually taking advantage of the derivatives when the radar guns is are pointed and fired at your care on the highway the gun is able to determine the time and distance at which the radar guns was able to hit a certain section of your vehicle. The same are used to calculate the speed at car going and also report the distance from radar guns...........

Business .............. In business world there are many applications of derivatives One of the most important application is when data has been charted on graph or data table such as excel The derivatives you can estimate a profit &loss of the business...........

Graphs .............. The most common application of deravatives is to analyse graph of data that can be calculated from many fields using derivatives is able to calculate the gradient at any point of a graph..........

Derivatives in science........... Physics Biology Economics Chemistry Mathematics Others (psychology, sociology, geology).

derivatives Of Physics .......... In physics the derivatives of the displacement of a moving body with respect to him is the velocity of the body and the derivatives of velocity w.r.t.time is acceleration... law: Newton’s second law of motion sates that the derivatives of the momentum of a body equals the force applied to the body.......

Derivatives of biology.......... Population growth is another instance of deravatives in the science.... For a example, Suppose n=f(t) is the number of individuals in same animal or plant population at times ‘ t ‘........ ∆n= f(t2)-(t2) Growth rate= lim (∆t_0) (∆n/∆t)- dn / dt ......... ,.

Derivatives of economics........... With the help of the derivatives, we can find the optimum points of economic functions, if any. For example, the use of derivatives is helpful to compute the level of output at which the total revenue is the highest, the profit is the highest and (or) the lowest, marginal costs and average costs are the smallest, etc..

Derivatives of chemistry......... In chemistry, a derivative is a compound that is formed from a similar compound or a compound that can be imagined to arise from another compound, if one atom is replaced with another atom or group of atoms. The latter definition is common in organic chemistry..

Derivatives of mathematics......... In mathematics, derivative is defined as the method that shows the simultaneous rate of change. That means it is used to represent the amount by which the given function is changing at a certain point..

Purpose of deravatives ........ Key purpose of a derivative is the management and especially the mitigation of risk. When a derivative contract is entered, one party to the deal typically wants to free itself of a specific risk, linked to its commercial activities, such as currency or interest rate risk, over a given time period..

Role of deravatives ........ Derivatives play an important role in keeping the transaction costs low in the market. The cost of trading derivatives has to be kept low, thereby bringing down the overall transaction costs of the market. Derivatives also offer other benefits like bringing liquidity to the market and encouraging short selling............

Conclusion.......... Derivatives are not only highly risky, they are also a necessity to investors to reduce risk in a volatile market. It is important to have extremely good knowledge about the derivatives to trade in the derivatives market to ensure less risk and high profit..........

Thank you ........ ???.

Manoj Kumar S . 22BPA030 B.COM (PA) 1 ST YEAR . “A” _ SECTION.