Increasing and decreasing functions

A derivative is a tool that allows us to understand how the relationship between two variables changes over time. Suppose you have two variables, one independent (x) and the other dependent (y). It is possible to calculate the derivative formula to find the relationship between the change in the dependent variable with respect to the […]

Application of Derivatives Derivatives are widely used in mathematics. For example, they can be used to determine the maximum or minimum value of a function, the slope of a curve, or even the point at which a curve inverts. In the following sections, we’ll go into greater detail about each one. Calculating a quantity’s change

Introduction What are the derivatives of polynomial? Derivatives determine the rate by which a parameter changes with time. In real life, we are required to evaluate the rate of change to know when a reservoir will overflow by knowing the water depth at different times. The Astroscientists determine the velocity they need to shoot the

A valuable technique for examining the limit of a function at a certain point, the squeeze theorem can be used in situations where other methods (such as factoring or multiplying by the conjugate) fail. There are other names for this theorem, including the Sandwich Theorem and the Pinch Theorem, but it is most generally referred

In situations where we are unable to perform general addition operations on a large scale, integration is used to add values on a smaller scale. However, there are a variety of integration methods available in mathematics that can be used to integrate the functions. There are several different integration methods that can be used to

Differential Calculus is a tool of mathematical analysis that helps find the rate of change concerning the dependent variable. Applications include finding maximum and minimum values of operations to solve and optimise practical problems. Among the two calculus theories, differential calculus is one of the more traditional branches. Another calculus that is an integral part

The derivative meaning of function in calculus is the mathematics of continuous change or the rate of change of a quantity concerning another. We can find the derivative at every point for a given function f in x, i.e., f(x). It simply means it is a function f concerning x. The function f changes the

In mathematics, Differentiation is the part of differential calculus in which we study the rate of change of the function. Definition Differentiation can be defined as the process of determining a derivative of the given function which further means the rate of change of that function. Differentiation is a technique for determining a function’s derivative.

Calculus is one of the most significant branches of mathematics since it deals with continuous change. The fundamental principles of calculus are derivatives and integrals. The area under the curve of a function is measured by its integral, whereas the rate of change of a function is measured by its derivative. The integral gathers a

Differentiation is one of the most essential subjects in maths, both intellectually and in terms of mark weightage. The term “differentiation” refers to the process of determining a function’s derivative. It is the method of finding the rate of change of a function based on the variables in the function. We can find rates of