#Geogebra for mac software#

We can trace the locus of a point ( B) moving on the first derivative curve, as follows: The green curve is the first derivative curve (a parabola, as expected): (Of course, we expect the first derivative curve to be a parabola, since it will be a polynomial of degree 2). Let's now add the curve of the first derivative to our existing plot. The result for one part of the curve is as follows: Rather than just giving a numerical value for the slope, it actually gives a triangle with base length 1 unit, indicating more clearly what a slope at a point really means. Even better, we can get a readout of the actual slope as we move around the curve, by typing in: s = Slope

The exploratory activity we can do now is to drag the point 'A' to any position on the curve (after selecting the 'pointer' icon at the far left) and the tangent line follows along. Helpful hints appear on the GeoGebra interface that tell us to click on the point, then the curve. Note the other tools that are available on this drop-down. Now we choose the 'Tangent' tool as follows: Note the other tools that are available on this tool item: It will now 'stick' to the curve as we drag it. We place the new point anywhere on the curve by clicking on the curve. We add a new point on the function using the 'New point' tool: Next, we are going to add a tangent line to our curve. I have scaled the y-axis by clicking on the 'Move' tool (the one on the far top right) and simply dragging the axis to the desired scale. The program converts the function display (see under 'Free objects') so that it is more easily read by a human. Our document will allow the end-user to explore the changing slope of a polynomial as x changes value.įirst, we enter the function at the bottom of the screen, using the carat '^' for powers of x: Let's go through the process of creating a document in GeoGebra. Building an Interactive Document in GeoGebra

#Geogebra for mac software#

GeoGebra is a free and multi-platform dynamic mathematics software for schools that joins geometry, algebra and calculus. GeoGeobra is an intelligent graphing software that allows the user to interactively explore 2D and 3D Cartesian & Euclidean geometry - as well as calculus.