What is the quotient rule in calculus and when is it used?

Understanding the Quotient Rule in Calculus
The quotient rule in calculus is used when finding the derivative of a function that is a quotient of two other functions. It is particularly useful in Calculus AB when dealing with complex functions and their derivatives. The rule states that the derivative of (\frac{f(x)}{g(x)}) is given by (\frac{g(x)f'(x) - f(x)g'(x)}{(g(x))^2}), where (f'(x)) and (g'(x)) denote the derivatives of (f(x)) and (g(x)) respectively. Mastering the quotient rule is essential in understanding how to find derivatives effectively in calculus.