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Exploring Partial Derivatives with Graphical Illustrator

Given the graph of f(x,y) = sin x. a. Slide x. Describe the relationship between and the graph. b. Check Illustration . Then slide x and y. Describe the relationship between and the graph.

TO EXPLORE IN GEOGEBRA AUGMENTED REALITY:

1) Open up GeoGebra 3D app on your device. 2) Go to MENU (3 horizontal bars in upper left hand corner). 3) Select OPEN. Under search, type: fgzyyx8x 4) The sliders a & b control the x & y coordinates of the point (respectively). You will also see FILLING sliders to fill in the surface itself or the tangent plane. 5) To switch from partial derivative with respect to x and partial derivative with respect to y, adjust the slider named whichpartialderiv at the bottom of the algebra pane.