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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