Calculus Research Paper Essay Example

11/7/12 Calculus Research paper Raidah Zaman Calculus is the branch of math that deals with the finding and properties of derivatives and integrals of functions. Wilhelm Gottfried Leibniz (1646-1716) and Isaac Newton (1642-1727) are considered the inventors of Calculus. . There are also many branches in calculus. Derivatives are one of the main topic for algebra. A derivative goes under the topic differentiation. A derivative has two definition one is geometrical (like a slope of a curve) and the other is physical (rate of change) as shown in picture one on page 8 figure A shows and example of a physical derivative. The physical concept was founded by Newton. The main idea is speed and velocity. In Figure B it shows basically the speed it took to get from A to B over the time it took to get from A to B. When A and B are close that is called instantaneous velocity. The time elapsed from A to B is then the time to get to B is . There is also a separate formula for instantaneous velocity which is shown on figure C. The instantaneous velocity is when the time reduces. The concept here is about limit. If f(t) is the time then the formula is you divide this formula by time or .
An example is shown in Figure D. The last thing for physical is the average rate. The average rate is when the rate of one variable respectively to another variable. For example the volume of oil depended on how much temperature the oil is. Then you would use the formula shown in Figure E. The Y and X variables would represent the volume of the gas and the temperature of the gas. Now you put the instantaneous velocity into a suitable