It involved the denominator and easily reducing something in the numerator instead of having to do all the distributing and addition to then reduce. Instead of squaring the denominator everytime you only increased it's power by one. Also it has a factorial pattern in there if i recall correctly.jedishrfu said:is this like using the difference of squares to reduce the function into a product of factors that you then can use the product or quotient rule on:
http://calculustricks.com/page/3/
The quotient rule is a mathematical formula used to find the derivative of a quotient of two functions. It is used in calculus to determine the rate of change of a function with respect to its independent variable.
The shortcut for quotient rule is a simplified method for finding the derivative of a quotient without having to use the full quotient rule formula. It involves taking the derivative of the top function, multiplying it by the bottom function, and subtracting the derivative of the bottom function multiplied by the top function, all divided by the square of the bottom function.
The quotient rule should be used when trying to find the derivative of a quotient of two functions that cannot be simplified or rewritten as a product of two functions. It is also useful when the quotient involves variables raised to multiple powers.
No, the quotient rule is specifically designed to find the derivative of a quotient of two functions. If you have more than two functions in the quotient, you will need to use the product rule or the chain rule to find the derivative.
The general formula for the quotient rule is (f/g)' = (f'g - fg')/g^2, where f' and g' represent the derivatives of the top and bottom functions, respectively. This formula can be applied to any quotient of two functions.