Question

Quotient rule

Answer 1

The quotient rule is a mathematical rule used to find the derivative of a quotient of two functions. It states that if you have a function f(x) divided by a function g(x), the derivative of this quotient is equal to the derivative of the numerator times the denominator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. In mathematical notation, the quotient rule can be written as:

(d/dx)(f(x)/g(x)) = (f'(x) * g(x) - f(x) * g'(x)) / (g(x))^2

This rule is an important tool in calculus and is used to find the derivative of functions involving fractions.