What is quotient rule?

The Quotient Rule is a method of finding the derivative of a function that is the ratio of two other functions. In other words, if you have a function like:

f(x) = g(x) / h(x)

where g(x) and h(x) are both differentiable functions, then the derivative of f(x), denoted f'(x), can be found using the quotient rule.

The formula for the quotient rule is:

f'(x) = [h(x) * g'(x) - g(x) * h'(x)] / [h(x)]^2

Where:

• f'(x) is the derivative of the function f(x).
• g(x) is the function in the numerator.
• g'(x) is the derivative of the function g(x).
• h(x) is the function in the denominator.
• h'(x) is the derivative of the function h(x).

It is important to note the order of operations in the numerator to avoid errors. The term h(x) * g'(x) comes first, then you subtract g(x) * h'(x). The entire expression is then divided by the square of the denominator function, [h(x)]^2. You can see an example about derivatives. Also this article can help Quotient%20Rule.