From the course: Complete Guide to Calculus Foundations for Data Science
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Quotient rule
From the course: Complete Guide to Calculus Foundations for Data Science
Quotient rule
- [Instructor] Next, let's explore the quotient rule. This rule operates similarly to the product rule, where you can't just simply divide or multiply functions together to get their combined derivative. Let's start off with the definition. The quotient rule states the derivative of a quotient of functions only works if each of the functions are differentiable individually. If they are differentiable, then the derivative for the function h of x, which is equal to the function f of x divided by the function of g of x is then equal to h prime of x, which equals f prime of x multiplied by g of x, subtracted by f of x, multiplied by g prime of x, divide all of that by g of x squared. The derivative for the quotient rule is similar to the product rule with the overall format, especially with that top part of the quotient rule. There are a few differences where with the product rule, you add the two sets of functions and derivatives together, versus the quotient rules, you subtract them…
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