From the course: Complete Guide to Calculus Foundations for Data Science
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L'Hôpital's rule
From the course: Complete Guide to Calculus Foundations for Data Science
L'Hôpital's rule
- [Instructor] Let's continue applying derivatives by exploring L'Hôpital's rule. This rule is named after 17th century French mathematician Guillaume de L'Hôpital, but note that this theorem was technically introduced by Swiss mathematician Johann Bernoulli first in 1694. This is why it is sometimes referred to as Bernoulli's rule. If you remember from when I discuss calculating limits using factoring, that sometimes you can get an indeterminate form. This can be the case with derivatives as well. Let's review the list of some indeterminate forms you may come across. You may come across zero divided by zero, zero multiplied by infinity, infinity divided by infinity, infinity minus infinity, infinity to the zero, zero to the zero, and finally, one to infinity. The reason why L'Hôpital's rule is helpful is because you can use it to calculate limits of functions that yield indeterminate forms like the ones I listed previously. In order to calculate the limit though, you'll need to…
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