Applications of Derivative Formula

There are many applications of the derivative formulas. Some of these applications are listed below:

  • Derivatives are used to find the rate of change in any quantity.
  • It can be used to find maxima and minima.
  • It is used in increasing and decreasing functions.

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Derivative Formulas in Calculus

Derivative Formulas in Calculus are one of the important tools of calculus as Derivative formulas are widely used to find derivatives of various functions with ease and also, help us explore various fields of mathematics, engineering, etc.

This article explores all the derivative formulas closely including the general derivative formula, derivative formulas for logarithmic and exponential functions, derivative formulas for trigonometric ratios, derivative formulas for inverse trigonometric ratios, and derivative formulas for hyperbolic functions. Derivative Formula is important for Class 12 students for their Board Exams. We will also solve some examples of derivatives using the different derivative formulas. Let’s closely traverse the topic of Derivative Formula.

Table of Content

  • What is Derivative?
  • What are Derivative Formulas?
  • Basic Derivative Formulas – Derivative Rules in Calculus
  • List of Derivative Formulas
  • Some Other Derivative Formulas
  • How to find the Derivatives?
  • Applications of Derivative Formula

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What is Derivative?

The derivatives represent the rate of function with respect to any variable. The derivative of a function f(x) is denoted as f'(x) or (d/dx) [f(x)]. The process of finding derivatives is called differentiation....

What are Derivative Formulas?

Derivative Formulas are those mathematical expressions which help us calculate the derivative of some specific function with respect to its independent variable. In simple words, the formulas which helps in finding derivatives are called as derivative formulas. There are multiple derivative formulas for different functions....

Basic Derivative Formulas – Derivative Rules in Calculus

Some of the most basic formulas to find derivative are:...

List of Derivative Formulas

The derivative formulas for the different functions are listed below:...

Some Other Derivative Formulas

There are some other functions like implicit functions, parametric functions and higher order derivatives whose derivative formulas are listed below:...

How to find the Derivatives?

To find the derivatives of a function we follow the below steps:...

Applications of Derivative Formula

There are many applications of the derivative formulas. Some of these applications are listed below:...

Solved Examples on Derivative Formula

Example 1: Find the derivative of x5....

Practice Problems on Derivative Formula

Problem 1: Evaluate: (d/dx) [x4]....

FAQs on Derivative Formula

What is Derivative?...