Quotient Rule Examples || FSC Math Part 2 Chapter 2 | Exercise 2.3 Differentiation || booma1202.2303

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10 Derivative Rules You MUST Know to Succeed: Crash Course • 10 Derivative Rules Yo...
In this lecture, we will delve into finding the derivative of a quotient function, and to achieve this, we will utilize the quotient rule of differentiation. We have carefully selected two examples to elucidate this rule, both taken from F.Sc Second-year mathematics. Specifically, we will be exploring Question 3 and Question 4 from Exercise 2.3 of the second-year mathematics textbook titled "Calculus and Analytical Geometry" by the Punjab Textbook Board.
The quotient rule of differentiation holds significant importance in calculus as it provides a method to differentiate functions that are expressed as ratios efficiently. This rule is indispensable in various mathematical applications, especially when dealing with rates of change involving fractions or ratios of functions.
By mastering the quotient rule, you gain a powerful tool for analyzing and solving problems in fields such as physics, engineering, economics, and more, where relationships between variables are often expressed as ratios or fractions.
Join us as we uncover the intricacies of the quotient rule, demonstrate its practical application through examples, and deepen our understanding of differential calculus concepts. Don't forget to like, share, and subscribe for more educational content on mathematics and advanced calculus techniques.
The Question 3 is related to derivative of function
d/dx(a+x/a-x )
whereas Question 4 is
d/dx(2x-3/2x+1)
In these example we have explain three very important rules of differentiation
1- Quotient Rule of derivative
2- The sum rule of derivative
3- the constant multiple rule and derivative of constant
4- The power rule of derivative to find the derivative of power function (very very important)
To download the the pdf of the lecture please visit the following downloads link
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For next video visit the links mentioned bellow
0:02 Question 3 d/dx (a+x/a-x)
0:55 Quotient Rule of Differentiation
2:40 Sum Rule of Differentiation
4:28 Question 4 d/dx (2x-3/2x+1)
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