Increasing and decreasing functions

Differentiation, along with integration, is one of the two most important principles in the calculus curriculum. Differentiation is a mathematical technique for calculating the derivative of a function. In mathematics, differentiation is the process of finding the instantaneous rate of change of a function dependent on one of its variables at a given time point. […]

The Mean Value Theorem of Cauchy is a generalisation of Lagrange’s Mean Value Theorem. Cauchy’s mean value theorem is just a generalisation of the well-known mathematical result of the traditional mean value theorem. The Extended Mean Value Theorem, sometimes known as the Second Mean Value Theorem, is a well-known theorem. This is how it’s defined:

Cauchy’s mean value theorem is a generalisation of the conventional mean value theorem, which is a well-known mathematical result. This theorem is often referred to as the Extended Mean Value Theorem or the Second Mean Value Theorem. It is defined as follows: If a function (x) is continuous in the close interval [a, b] where

In practice, simple interest is rarely employed; practically all banks or other financial organizations use compound interest. When interest is added (or compounded) to the principal sum, interest is paid on the entire amount. If the first year’s interest is left there in the account, and the interest again for the second year is computed on

In mathematics, a function is a precise relationship between two sets (input set and output set). Every member of the output set has a unique relationship with one or more members of the input set. The letter “f” stands for the function. It’s feasible to have several different kinds of functions. They’re divided into groups

A polynomial function is the most basic, widely used, and fundamental mathematical function. These functions are used to represent algebraic expressions that meet particular constraints. They also serve a variety of purposes. Because of their wide range of applications, polynomial functions must be studied and comprehended.  Definition of a polynomial function Polynomial is composed of

Various methods are used to convert decimal to binary. Divide the provided decimal number recursively by 2 is one way for converting decimal to binary. The remainders are then recorded until the final quotient is zero. These reminders are then rewritten in reverse order to obtain the binary value of the provided decimal number. A

Introduction A function refers to the relation between input and output in mathematics. It can either be increasing, decreasing or even constant. That happens for the given intervals throughout a particular domain. Moreover, they are differentiable and continuous at the given interval. Talking about an interval, it is the connection or the continuous portion or

Derivatives are used widely in the fields of physics, maths, and chemistry. They have many uses and can solve many important questions. To find a derivative of anything means to find its rate of change. What are Derivatives? The rate of change of any vector value is called it’s derivative. If you want to see

In mathematics, Differentiation is one of the two most important and useful concepts in calculus, along with integration. Differentiation is a method for evaluating the derivative of a function. Differentiation is a mathematical process for calculating a function’s instantaneous rate of change based on one of its variables. The most common example is velocity, which