Quotient Rule for Derivatives
Definition
The quotient rule is used to find the derivative of a function that can be expressed as the quotient (division) of two other functions. It states that the derivative of f(x)/g(x) is equal to [g(x)f'(x) - f(x)g'(x)] / [g(x)]^2.
Analogy
Imagine you have two friends who are competing in an eating contest. The quotient rule helps you determine who ate more by subtracting their rates (how fast they eat) and dividing it by their total amount eaten squared (denominator).
Related terms
Product Rule for Derivatives: The product rule allows us to find the derivative when two functions are multiplied together.
Chain Rule for Derivatives: The chain rule enables us to find the derivative when functions are composed or nested within each other.
Power Rule for Derivatives: The power rule provides a shortcut for finding derivatives when dealing with functions raised to constant powers.
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