Class 12

An algebraic function is a function f(x) that satisfies p(x,f(x))=0, where p(x,y) is an integer-coefficient polynomial in x and y. Algebraic functions are functions that can be created using just a limited number of elementary operations, as well as the inverses of functions that can be constructed in this way. In this article, we will […]

Differentials and integrals form the very basis of mathematical studies. This method in itself poses us with a relative advantage. It helps us in solving the integrals of functions regardless of the limits that the integral has on it, or whether the integral is definite or indefinite. This method specifically involves altering the limits of

The exponential function is a type of mathematical function that can be used to a wide variety of problems that occur in the real world. Finding the exponential decay or increase, computing investments, modelling populations, and a variety of other applications are the primary uses for this tool.  Exponential functions:  An exponential function is a

Usually, the change in an amount over time is used to define the rate of change. For example, the derivative of speed shows how fast speed changes over time. This is shown by ds/dt. The rate of change of distance in relation to time is another example. In a similar vein, in the event that

Introduction: In mathematics, The logarithm is an inverse function of exponentiation. That is, the logarithm of a number x is the exponent to which another given fixed number, the base b, must be raised in order to obtain that number x. The logarithm counts the number of times, the same factor appears in repeated multiplication

Analytical study of the differential equation was initially proposed independently by Issac Newton and Leibniz in the late 17th century. These scholars made use of the concept of infinitesimal differences or distances in the Cartesian coordinate system, and the study was later generalised to the study of calculus. More developments in the study of calculus