Common Derivatives | Derivative Formulas | Differentiation | 5 Types Of Function

 Common derivatives

Understanding Common Derivative

First of all we should understand the basic definition of Common Derivative. In maths, the derivative is defined as the rate of change of a function i.e. the amount by which  function changes with respect to a given reference point. It is denoted by “ dy upon dx” which means difference in “y” divided by difference in “x”. It is called “the derivative of y with respect to x”. If x and y are real numbers, and if the graph of y is plotted against x, the derivative is the slope of this graph at each point.

In other words we can say that derivative of a function measures the sensitivity to change of function value with respect to a change in its input. These are the fundamentals and important tool of calculus.

Differentiation- The process of finding a derivative is known as differentiation. And also its reverse process is called antidifferentiation. This anti differentiation is also known as integration. Like differentiation there are also rules for integration also. 

But in this article we are going to learn about the derivative formulas of various functions . the various functions are : Trigonometry, inverse trigonometry, basic properties, exponential functions, logarithmic functions, hyperbolic trigo Functions.

Use of Derivative Formulas

Now coming to the common derivatives. Why do we need common derivatives? What are their use? Why should we know about these. Well the answer is its for our convenience. With the help of these derivatives and Derivative Formulas we will be able to calculate the differentiation of many other functions with their help. Basically these derivative formulas act as a base and as  derivative rules with the help of which we can differentiate various other functions with changed variables. These are considered as general formulas to carry on further calculations . 

Derivative Formulas

Below given are the formulas for differentiation of Common Derivatives / Derivative Rules :