I need ppt on the application of maths in engineering and technology.if u have any idea pls suggest me

In mathematics, differential calculus is a sub-field of calculation related to the study of rates at which quantities change. It is one of the two traditional divisions of calculation, the other being the integral calculus. The primary objects of study in differential calculus are the derivative of a function, related notions like the differential, and their applications. The derivative of a function at an chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation. Geometrically, the derivative at a point is the slope of the tangent line to the graph of the function at that point, provided that the derivative exists and is defined at that point. For a real-valued function of a single real variable, the derivative of a function at a point generally determines the best linear approximation to the function at that point. Differential calculus and integral calculus are connected by the fundamental theorem of calculus, which states that differentiation is the inverse process to integration.

Differentiation has applications in almost all quantitative disciplines. For example, in physics, the derivative of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. The moment derivative of a body is equal to the force applied to the body; Reordering this derived statement leads to the famous equation F = ma associated with Newton's second law of motion. The reaction rate of a chemical reaction is a derivative. In operational research, derivatives determine the most efficient ways of transporting materials and designing factories. Derivatives are often used to find the maxima and minima of a function. Derivative equations are called differential equations and are fundamental for describing natural phenomena. Derivatives and their generalizations appear in many fields of mathematics, such as complex analyzes, functional analysis, differential geometry, measurement theory, and abstract algebra.