Quotient rule

The quotient rule allows us to find the derivative of a function that is being divided by another function. This can be derived from the product rule. As before, we take two functions f(x) and g(x), but now, we will divide them. So, . The derivative is .

Suppose we have  and . Then, we have the following:

By finding the derivatives of f(x) and g(x) and plugging them into the preceding equation, we get the following:

If we expand it, we find the derivative.