Quotient Rule | Differentiation | Quotient Rule Formula | Quotient Rule Definition | Class12 Maths |

Показать описание

Quotient Rule | Differentiation | Quotient Rule Formula | Quotient Rule Definition | Class12 Maths |

Quotient Rule in differentiation

In Calculus, the Quotient Rule is a method for determining the derivative (differentiation) of a function in the form of the ratio of two differentiable functions. It is a formal rule used in the differentiation problems in which one function is divided by the other function. The quotient rule follows the definition of the limit of the derivative. Remember that the quotient rule begins with the bottom function and ends with the bottom function squared. In this article, you will look at the definition, quotient rule formula, proof, and examples in detail.

Quotient Rule Definition
In Calculus, a Quotient rule is similar to the product rule. A Quotient Rule is stated as the ratio of the quantity of the denominator times the derivative of the numerator function minus the numerator times the derivative of the denominator function to the square of the denominator function. In short, the quotient rule is a way of differentiating the division of functions or the quotients. This is also known as the quotient rule differentiation in maths.

Quotient Rule Formula
If we have a function y = u/v, where u and v are functions of x. Then, by the use of the quotient rule, we can easily find out the derivative of y with respect to x, and can be written as:

(dy/dx) = d(u/v)/dx = (v du/dx - u dv/dx)/ v²

The quotient rule of differentiation is defined as the ratio of two functions (1st function / 2nd Function), is equal to the ratio of (Differentiation of 1st function × the 2nd function – Differentiation of second function × the 1st function) to the square of the 2nd function.

Maths Class 12 Playlist Link

Like | Share | Subscribe | @sdsk9

GuRu 9 Paper & Pencil

#guru9
#guru9paperandpencil
#guru9paper&pencil
#class11maths
#maths
#class11
#class12
#class12maths
#matrix
#matrices
#multiplicationofmatrix
#class12chapter3
#complexnumbers
#complexnumbersclass11
#mathsshorts
#mathstrick
#learnmaths
#mathematics
#ncert
#ncertmaths
#ncertmathsclass11
#realnumbers
#imaginarynumber
#iota
#mathsworld
#learnmathswithsunainamam
#learnmathswithguru9
#derivatives
#differentiation
#Quotient Rule

Maths
Mathematics
Class 11 Maths
Class 12 Maths
class 12 Maths Chapter 3
Matrix
Matrices
How to Multiply Matrices
How to Multiply different orders Matrices
Multiplication of Matrices
Ncert Maths Class 12
+2 Maths Chapter 3
Matrices Multiplication Complete video
Matrix Complete concept video
NCERT Maths
NCERT Maths Class +1
Maths class 11 chapter complex Number
complex Number
real Number
Imaginary Numbers
iota
what is complex Number
concept of complex Number
Introduction of complex Number
complex Number complete concept
how to solve complex Number
problem of complex Number
complex Number Basic concept
learn Maths with GuRu 9
Learn Maths with Sunaina Mam
Learn Maths
Learn Maths Concept
Maths Questions Practice Class
Differentiation
Differentiation in Mathematics
Derivative of a Function
Derivative of a Variable
Quotient Rule
Quotient Rule in Differentiation
Quotient Rule Formula
Quotient Rule definition
Quotient Rule for a function defined as the ratio of two differentiable functions
Dependent Variables and Independent Variables

Chapter
00:00 Introduction
00:05 Topic Announcement
00:28 Quotient Rule essential condition
01:50 Quotient Rule definition
04:13 Quotient Rule Formula for a function. defined as the ratio of two differentiable functions
07:44 first Example using Quotient Rule
12:37 Example second using Product Rule
21:22 The End

My Instagram Channel Link

My Facebook Channel Link

My WhatsApp Channel Link

My Telegram Channel Link

Thanks For Watching This Video | Keep Learning |
Keep Watching |

Tr. Sunaina Dhull 9