From the course: Complete Guide to Calculus Foundations for Data Science
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Calculating derivatives using limits
From the course: Complete Guide to Calculus Foundations for Data Science
Calculating derivatives using limits
- [Instructor] Before you go further, let's take a moment to teach you how to calculate derivatives using limits. Generally, you won't use this method to calculate derivatives, but it is important to understand the connection of derivatives to limits and how to calculate them with this method before you move on to more advanced methods. You'll use the definition of a derivative in the form of a limit. If you remember, the limit definition of a derivative is f prime of x equals the limit as h approaches zero of f of x plus h minus f of x divided by h. Once you plug in your function, you will then solve the equation using basic algebra to find your final solution. Let's go through a few examples using limits to calculate derivatives. Let's start off with the simple function of f of x equals x. So you have your formula f prime of x equals the limit as h approaches zero of f of x plus h minus F of x divided by h. Now if you plug in your function x, you get f prime of x equals the limit as…
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