Applications of Derivatives

Calculus isn’t complete without derivatives. They assist us in determining the rate of change, maxima, and minima of functions. The first form of the derivative is defined as a derivative that is given by employing limitations. We already know how to calculate the derivatives for conventional functions, but there are occasions when we need to […]

To illustrate the relationship between two numbers, a direct and inverse proportion is utilised. They can also be described as being proportionate in a direct or inverse manner. To denote proportionality, the “” sign is used. As an example, if we state, “a = b” and “a1/b,” then “a b” and “a1/b” are used to

Direct and inverse variation problems have an extensive application in different fields apart from mathematics, like physics. Many concepts of physics apply concepts of direct and inverse variation. In this article, we will explain the problems based on the relationship between speed, distance and time, which is one of the fundamental concepts of physics. Speed, distance

Before directly going to the geometric significance of differential equations, let us have a brief discussion on differential equations. A differential equation incorporates one or more than one function along with their derivatives. The derivatives of a function define the rate of change of the function at a given point in time. Derivatives, of which

Polynomial computations are at the heart of computer algebra, and having a quick and reliable polynomials manipulation module is essential for developing a powerful symbolic manipulation system. Polynomials Polynomial expressions in the generators are expressions formed from a set of symbols or other appropriate objects, such as integers, by repeated addition, subtraction, and multiplication. Multiplications

The operations of a vending machine (soda machine) can be compared to the functions that are used in mathematics. You are able to choose from a wide variety of drinks after you have contributed a predetermined sum of money. In a similar fashion, when we use functions, we provide various numbers as input, and we

It is possible to calculate the derivative of a function of a real variable in mathematics by measuring the sensitivity of the function value (output value) to changes in its argument (input value). Calculus’s derivatives are a fundamental tool for problem solving. A good example is the derivative of the position of a moving object

Weierstrass Approximation Theorem Among the great mathematical ideas, Karl Weierstrass, in 1885, gave the original version of the Weierstrass Approximation Theorem. The idea of this theorem was facilitated by Marshall H. Stone in 1948. He also gave the theorem in a generalized form in 1937. Later, the theorem was referred to as the Stone–Weierstrass theorem. 

A quantity is said to have a constant value when there is no variation in its value under diverse circumstances. On the other hand, something is considered a variable if the value of the quantity shifts in response to changes in the surrounding environment. Equations in mathematics always include some kind of parameters when they

Financial derivatives are contracts whose value is derived from the value of the underlying asset in which they are based. Hedgers and speculators make extensive use of these contracts in order to profit from market volatility. The contract’s buyer agrees to purchase the asset at a given price and on a specific date specified in