When we talk about study of differential calculus, our primary objective is to study about the Derivatives of the function. Differential Calculus is the important part of calculus, in which we deal with the change of rate of quantities. Calculus is divided into two main parts, in which one is called as the differentiation calculus other is named as the integral calculus. To describe the rate of change of the quantity, we use the derivative of the function, and this process of finding derivative is called differentiation. In geometrical language, we can say that if we draw the graph of the function then the Point on the slop of Tangent line is the derivative.
The fundamental theorem of calculus connects differential calculus with Integral Calculus, which clearly indicates that Differentiation is just a reverse process to Integration and vice-versa. Differentiation itself plays an important role in almost all quantitative exercises. For Example; we know that in physics the derivative of the displacement of moving object w.r.t time is called as the velocity attain by an object, and the derivative of the velocity in physics with respect to time is called as acceleration.It also plays an important role in forming various mathematical equations which also used in various scientific theories.
The differentiation is the subfield of Calculus and there are various application of differentiation in real world. The differentiation is very important part of Math as it is used in many scientific field...Read More
When we calculate the rate of a function with respect to a particular variable, then this process is known as a derivation or differentiation of that function, like f(x) is a function and when we calculate rate of this function with respect to x, then we get d (f(x))/dx, which is called as derivative of f(x). Now we will discuss introduction of derivative wher...Read More
The derivative of any function tells you that how the output of the function changes, as you make change in the input. In geometrical language, we define differentiation as if, we draw the graph of the function then, the Point on the slop of Tangent line is the derivative. According to the definition of differentiation, we can say that it is a process of findin...Read More
In Differential Calculus, differentiation is a process of finding a derivative of function, here, derivative means change rate with respect to some variable like derivative of f(x) with respect to x is d/dx (f(x).
The concep...Read More
Differentiation Formulas are useful in finding a derivative of Functions and we use them in solving differentiation problems. Here, we will discuss useful differentiation formulas and other properties:-
Differential equations are those types of equations that have some Derivatives of certain Functions. The derivatives can either be ordinary derivatives or partial derivatives. If there are only ordinary derivatives...Read More
Maxima and minima of a function together can be called as extrema. Maxima and minima can be defined as largest and smallest of a function at a given Point in its Domain or outside its domain. We can calculate the maxim...Read More