Calculating a Function's Derivative in Geogebra

Navigating the world of derivatives can seem a bit daunting at first. But fear not, this tutorial will guide you through the process of calculating a function's derivative using Geogebra, by using a hands-on example.

We'll kick things off with a simple mathematical function. Let's go for something straightforward, like f(x)=x².

Our next step is to invoke the Derivative() function.

Make sure to enclose the name of your function within parentheses. In our scenario, it's "f".

Geogebra then steps up to the plate, quickly calculating and displaying the first derivative of the function, which is represented as f'(x).

In this particular case, we find that the first derivative of our function is f'(x)=2x.

But what if we want to go a step further and compute the second derivative?

You've got two paths to tread here.

You could use the Derivative() function directly on the first derivative, denoted as f'(x).

Alternatively, you can streamline the process by stating the order of the derivative as the second argument within the Derivative() function.

This latter technique is especially useful if you're looking to leap straight to the third, fourth, or nth derivative of the function, sidestepping the need for any intermediary steps.

If you found this brief tutorial by Nigiara insightful and are hungry for more, make sure to keep an eye out for upcoming lessons.