Question

What is a quotient rule

Answer 1

[AI-generated answer — Bot GPT 3.5]

The quotient rule is a method used in calculus to find the derivative of the quotient of two functions. It is commonly used when differentiating functions that are in the form f(x)/g(x), where f(x) and g(x) are both differentiable functions.

The quotient rule states that if f(x) and g(x) are differentiable functions, then the derivative of the quotient f(x)/g(x) is given by:

(f'(x) * g(x) - f(x) * g'(x)) / (g(x))^2

In other words, to find the derivative of a quotient, you differentiate the numerator and denominator separately, and then use this formula to find the derivative.