Why in the world do we need derivative

994 Words2 Pages
bulb-icon

Recommended: Describe the effects of a high population growth rate on the environment

Why in the World we Need Derivatives

Many years ago humans discovered that with the use of mathematical calculations many things can be calculated in the world and even the universe. Mathematics consists of many different operations. The most important that is used by mathematicians, scientists and engineers is the derivative. Derivatives can help make calculations of anything with respect to another event or thing. Derivatives are mostly common when used with respect to time. This is a very important tool in this revolutionary world. With derivatives we can calculate the rate of change of anything with respect to time. This way we can have a sort of knowledge of upcoming events, and the different behaviors events can present. For example the population growth can be estimated applying derivatives. Not only population growth, but for example when dealing with plagues there can be certain control. An other example can be with diseases, taking all this events together a conclusion can be made.

The population of the world is growing extremely fast. Eventually there is going to be overpopulation and resources are going to run out if something is not done. We know earth is overpopulated and that a control over population can be made or at least something can be done so there is not a catastrophe. Population growth can be determined using exponentials which directly relate to derivatives. This is a tool that can be very helpful for anthropologist and sociologists in the world (which have nothing to do with mathematics). Not only to know population numbers in ten or twenty years but to have control over other things. For example will there be enough food for five billion people in the world, will there be enough mineral supply for five billion people in the world or will there be enough fuel supply for five billion people in the world. Many of those types of investigations can be determined with the application of derivatives.

The world population is growing extremely fast, and our natural resources are been consumed even faster, this study using exponentials and its graphs gives us an idea of what must be done to prevent a disaster. Around this fact of overpopulation and running out of natural resources many things have been created. Indirectly derivatives have caused all this and in some way it is very useful and important. For example birth control methods are a consequence of this.

Show More
Related

  • Analysis Of Outside The Solar Village One Utopian Farm

    1002 Words  | 3 Pages

    In, The Population Bomb by, Paul R Ehrlich, he explains the problem of population increase, and how there are people everywhere! The feeling of feeling over populated. He talks about how if there are more people then there is more food that needs to be produced then ate. He explains on the rich people becoming wealthier and the poor are going to be even poorer and there is going to be a starvation. Population is doubling every year and how our energy is turning into

    Read More

  • Derivatives Varial By Warren Buffet

    694 Words  | 2 Pages

    Derivatives as defined by Warren Buffet are time bombs, both for the companies that make use of them and the monetary framework. Fundamentally these instruments call for cash to change hands at a future date, with the add up to be dictated by one or more reference things, for example, premium rates, stock costs, or money values. Case in point, in the event that you are either long or short a S&P 500 prospects contract, you are a gathering to an extremely straightforward derivatives transaction, with your addition or misfortune determined from developments in the list. Derivatives contracts are of shifting length of time, running now and again to 20 or more years, and their quality is regularly attached to a few Variables.

    Read More

  • Dbq Essay On Population Growth

    1167 Words  | 3 Pages

    Population continues to grow and is expected to reach an all time high in future years. There are tons of different reasons for why population is rising so quickly. In document d, it says, "Every second 5 people are born and 2 people die, a net gain of 3 people. This fact from document d shows one reason why population growth is at all time high. Document d, also states "At this rate, the world population will double every 40 years and would be 12 billion in 40 years, 24 billion in 80 years, and more than 48 billion in 120 years." This will create tons of difficulties, like the amount of food and supplies needed for the world, which will make it nearly impossible for supplies to keep pace with the population growth. Document a shows

    Read More

  • Mathematics: Projectile Motion

    729 Words  | 2 Pages

    Mathematics is the study of properties, measurements and relationships of sets and quantities using symbols and numbers. Mathematics is a group of related sciences including geometry, algebra and calculus that studies the interrelationships between quantity, number, space and shape by using specialized notation and this has contributed to human development since the birth of civilization. Calculus is a crucial part of mathematics that studies functions and the ways is which they can be manipulated. Mathematics is a a vibrant, large field of depth, for which calculus is only a small section.

    Read More

  • Overpopulation: The Only True Environmental Problem

    2087 Words  | 5 Pages

    In today’s society that we live in, there are countless of environmental problems that we face, such as global warming, fishing, pollution, and many other topics of that matter. These issues have affected our environment for the worse and have caused problems physically and economically. Yet, out of all the issues that effects our world on a daily basis, it is shown that overpopulation is one if not, is our biggest issue in our environment that is only getting worse due time, especially due to the rapid growth of the human population and the limited resources that are left on earth that we absolutely need to tend to our growing population. Even Dr. Charles A. Hall, who is a systems ecologist, states that, “Overpopulation is the only problem, If we had 100 million people on Earth or better yet 10 million, no others would be a problem.” Which helps prove that overpopulation is a major issue that we must act upon if we want to save our world.

    Read More

  • Calculus, Leibniz and Newton

    2305 Words  | 5 Pages

    The argument in this paper that even though the onus of the discovery of calculus lies with Isaac Newton, the credit goes to Leibniz for the simple fact that he was the one who published his works first. Appending to this is the fact that the calculus wars that ensue was merely and egotistic battle between humans succumbing to their bare primal instincts. To commence, a brief historical explanation must be given about both individuals prior to stating their cases.

    Read More

  • The Earth's Carrying Capacity for Humans

    1425 Words  | 3 Pages

    Having a population size that is not dangerously large is the limit where the population size is acceptable and understood as the defined carrying capacity for humans1. Population size and consumption can create stress on the environment through resources and social systems so that the quality of life declines. However some believe that resources can be created by humans and not all need to be replaced and reinvented once depleted, so resource availability may not be declining after all2. Although population growth increases economic growth in further investments of natural and renewable resources, consumption, increased population and limiting factors of carrying capacity will decrease the Earth’s ability to support and sustain us humans.

    Read More

  • Project: Fibonacci Sequence

    1187 Words  | 3 Pages

    Fibonacci sequence has had a lasting affect, with his exponential growth, explanation of nature, golden growth, and golden ratio. The goden ratio takes the ratio of the two successive numbers in Fibonacci’s series, dividing each by the number before it. If you plot a graph with the results of this, you will see that they seem to be tending to a limit, which we call the golden ratio or can be refered to by the greek letter phi. This number accounts for the spirals in the seedheads and the arrangement of leaves in many plants. So based on Fibonacci’s sequence, we have been able to explain natural phenominas, it lead to the understanding of phi, and it has lead to many other mathematical equations.

    Read More

  • Calculus and Its Use in Everyday Life

    1302 Words  | 3 Pages

    Ever wonder how scientists figure out how long it takes for the radiation from a nuclear weapon to decay? This dilemma can be solved by calculus, which helps determine the rate of decay of the radioactive material. Calculus can aid people in many everyday situations, such as deciding how much fencing is needed to encompass a designated area. Finding how gravity affects certain objects is how calculus aids people who study Physics. Mechanics find calculus useful to determine rates of flow of fluids in a car. Numerous developments in mathematics by Ancient Greeks to Europeans led to the discovery of integral calculus, which is still expanding. The first mathematicians came from Egypt, where they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the method of inscribed and circumscribed figures by means of heuristic, which are rules that are specific to a given problem and can therefore help guide the search. These arguments involved parallel slices of figures and the laws of the lever, the idea of a surface as made up of lines. Finding areas and volumes of figures by using conic section (a circle, point, hyperbola, etc.) and weighing infinitely thin slices of figures, an idea used in integral calculus today was also a discovery of Archimedes. One of Archimedes's major crucial discoveries for integral calculus was a limit that allows the "slices" of a figure to be infinitely thin. Another Greek, Euclid, developed ideas supporting the theory of calculus, but the logic basis was not sustained since infinity and continuity weren't established yet (Boyer 47). His one mistake in finding a definite integral was that it is not found by the sums of an infinite number of points, lines, or surfaces but by the limit of an infinite sequence (Boyer 47). These early discoveries aided Newton and Leibniz in the development of calculus. In the 17th century, people from all over Europe made numerous mathematics discoveries in the integral calculus field. Johannes Kepler "anticipat(ed) results found… in the integral calculus" (Boyer 109) with his summations. For instance, in his Astronomia nova, he formed a summation similar to integral calculus dealing with sine and cosine. F. B. Cavalieri expanded on Johannes Kepler's work on measuring volumes. Also, he "investigate[d] areas under the curve" ("Calculus (mathematics)") with what he called "indivisible magnitudes.

    Read More

  • The History Of Calculus

    1469 Words  | 3 Pages

    Calculus, the mathematical study of change, can be separated into two departments: differential calculus, and integral calculus. Both are concerned with infinite sequences and series to define a limit. In order to produce this study, inventors and innovators throughout history have been present and necessary. The ancient Greeks, Indians, and Enlightenment thinkers developed the basic elements of calculus by forming ideas and theories, but it was not until the late 17th century that the theories and concepts were being specified. Originally called infinitesimal calculus, meaning to create a solution for calculating objects smaller than any feasible measurement previously known through the use of symbolic manipulation of expressions. Generally accepted, Isaac Newton and Gottfried Leibniz were recognized as the two major inventors and innovators of calculus, but the controversy appeared when both wanted sole credit of the invention of calculus. This paper will display the typical reason of why Newton was the inventor of calculus and Leibniz was the innovator, while both contributed an immense amount of knowledge to the system.

    Read More

  • Industrial Revolution: The Effects Of Overpopulation

    784 Words  | 2 Pages

    Experts worldwide are warning that the current global population has exceeded Earth’s carrying capacity, and that current population growth trends are already leading to overpopulation. According to these experts, the effects of overpopulation could exacerbate poverty, unemployment, urban sprawl and lead to serious food and water shortages. As well as stating his position, this author will briefly explore these claims.

    Read More

  • Pollution and Environment Essay - Overpopulation and Personal Responsibility

    977 Words  | 2 Pages

    In our lives, and the lives of our children we have seen and will continue to see the harsh effects of population growth. The projected numbers are scary. Projections show a doubling rate of 51 years for world population at current growth rates. At this pace, our children will see twice as many people who need support from our planet. We each do our own part, however small it may seem, the huge issue may become smaller and smaller. Eventually, either we will stabilize our growth, or nature will do it for us.

    Read More

  • The Impact of Population Growth on the Environment

    1240 Words  | 3 Pages

    Other methods such as hydroelectricity, using more timber in architecture to sequester carbon, wind energy instead of modern high polluting techniques to help enhance our environment. There are various systems in handling population rates and the various issues that connect with threatening our environment. The population and environment debate will forever be a back and forth problem because there is possibly no way to completely stop carbon emissions but ease its production. To help the environment, we must incorporate all potential solutions in governing population such as family planning and governmental involvement and practice renewable resources and stop using nonrenewable resources, as well as ways to tackle overconsumption to support our corrupt environment.

    Read More

  • The Problems of Over Population

    879 Words  | 2 Pages

    There are several problems that affect the world today: war, crime, pollution, and several others. Overpopulation is a serious dilemma that is growing every year, every minute, and every second. It is the root of most, if not all, of the world’s problems1. It is the greatest global crisis facing humanity in the twenty-first century. Overpopulation is the major global problem because of several reasons. Most of the problems we have today, such as ocean depletion, food shortages, water shortages, air pollution, water pollution, and global warming are the effects of overpopulation2. The more people there are, the more resources consumed and the more waste created. A child born today in the United States for instance will produce fifty-two tons of garbage and consume 11 million gallons of water by the age of seventy-five3. Freshwater, drinkable water, is the most critical natural resource to humans. As time goes by, the world’s population expands more rapidly, but there is no more freshwater on the Earth than there was two thousand years ago, when the population was three percent of its current size4. Overpopulation has also increased industrial development, which contributes to massive urbanization and rising of living standards5. The increase in industry shrinks the amount of freshwater available because they are constantly being polluted. The rising in living standards causes people to consume more which creates more waste and raises life ex...

    Read More

  • The Population Explosion

    3628 Words  | 8 Pages

    In his book, The Population Explosion , Paul Ehrlich, a famous population controlist, came up with the equation I = PAT. He believes the impact on the environment is equal to the population multiplied by the affluence (meaning the amount of energy and food supply the population consumes) multiplied by the amount of destructive technology a country has. He showed that the impact is directly affected by the population. Therefore with a larger population, there is a greater impact on the Earth's water, air, and land. A common problem that people think is associated with overpopulation is running out of space to live, but there are also many other environmental predicaments that it causes. More people use more cars, need more firewood, drink more water. This causes more air pollution, more land ruined, and more water to disappear. Therefore, population control is necessary on an international level in order to protect our environment .

    Read More

More about Why in the world do we need derivative

Open Document