Applications of Derivatives

Exponents are used in exponential equations, as the name implies. The exponent of a number (base) indicates how many times the number (base) has been multiplied. But what happens when a number’s power is a variable? An exponential equation is one in which the power is a variable and is a part of an equation. […]

Logarithmic Functions  In mathematics, the logarithmic function is the inverse of the exponential function. It is also a multiplicative function. We can express the logarithm of the absolute value of any number as the power to which another fixed value, the characteristic, must be raised to produce that number. For example, the logarithmic function of

The exponential and logarithmic functions are very fundamental concepts.  They are the inverse of each other and can conveniently represent a wide range of integers. They are continuous and differentiable across their whole domain. The ease with which their derivatives are written gives you an indication of their importance in Mathematics and other sciences. Exponential

The exponential and logarithmic functions are very fundamental concepts.  They are the inverse of each other and can conveniently represent a wide range of integers. They are continuous and differentiable across their whole domain. The ease with which their derivatives are written gives you an indication of their importance in Mathematics and other sciences. Exponential

The function’s derivative is itself a function that is known as the second-order derivative. It is a differentiation process that can move along and continue till to get the third, fourth, and many successive derivatives of the function. And, this is known as the higher-order derivative. Below you will find some prominent examples of Higher-order

Introduction: Calculus is a discipline of mathematics that deals with continuous change and is one of the most significant. Calculus is built on two key concepts: derivatives and integrals. The derivative of a function is the rate of change of the function, whereas the integral is the area under the curve of the function. The

Mean Value Theorems (MVT) are a common occurrence in the literature on mathematics education. It is one of the most significant techniques in differential and integral calculus for proving a variety of other theorems. Rolle’s theorem, a specific case, is sometimes taught with it. Michel Rolle (1652-1719), a French mathematician who devised the now-common notation

Introduction The theory of analytic functions emerged in the nineteenth century, owing primarily to the work of A.L. Cauchy, B. Riemann, and K. Weierstrass. This theory was significantly influenced by the “transition to the complex domain.” The theory of analytic functions was developed as a subset of the theory of functions of a complex variable;

When a function changes with regard to an independent variable, it is said to be deriving from that function at a variable rate. Typically, the derivative is employed when there is a variable quantity and the rate of change is not constant. The derivative is a mathematical concept that is used to quantify the sensitivity

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