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.
Examples of Derivative Formula
Some examples of formulas for derivatives are listed as follows:
- Power Rule: If f(x) = xn, where n is a constant, then the derivative is given by:
f'(x) = nxn-1
- Constant Rule: If f(x) = c, where c is a constant, then the derivative is zero:
f'(x) = 0
- Exponential Functions: If f(x) = ex, then:
f'(x) = ex
Let’s discuss all the Formulas related to Derivative in a structured manner.
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