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How to take derivative of a rational function using quotient rule

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Brian McLogan

Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc.
When given a function of the form y = f(x)/g(x), then the derivative of the function is given by y' = [g(x)f'(x) f(x)g'(x)] / (g(x))^2. This method of differentiation is called the quotient rule. The quotient rule is used to find the derivative of a function that is a quotient of two functions.

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Organized Videos:
✅The Derivative
   • The Derivative  
✅Find the First and Second Derivatives of a Function
   • Find the First and Second Derivatives...  
✅Find the Differentiability of a Function
   • Find the Differentiability of a Function  
✅Find the Derivative of Absolute Value Function
   • Find the Derivative of Absolute Value...  
✅Find the Derivative of Exponential and Logarithmic Functions
   • Find the Derivative of Exponential an...  
✅Find the Derivative using Implicit Differentiation
   • Find the Derivative using Implicit Di...  
✅Find the Derivative of Inverse Functions
   • Find the Derivative of Inverse Functions  
✅Find the Point Where the Tagent Line is Horizontal
   • Find the Point Where the Tangent Line...  
✅Write the Equation of the Tangent Line
   • Write the Equation of the Tangent Line  
✅Find the Derivative from a Table
   • Find the Derivative from a Table  
✅Chain Rule Differentiation
   • Chain Rule Differentiation  
✅Product Rule Derivatives
   • Product Rule Derivatives  
✅Find the Derivative of Trigonometric Functions
   • Find the Derivative of Trigonometric ...  
✅Find the Derivative using the Power Rule
   • Find the Derivative using the Power Rule  
✅Quotient Rule Derivatives
   • Quotient Rule Derivatives  
✅Solve Related Rates Problems
   • Solve Related Rates Problems  

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