Question
What is a quotient rule
Answers
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.
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.