Math 180-Calculus 1 Computer Mini-Project Chapter 3: Derivatives of Logarithms In section 4.6 of your textbook, some of the advantages and disadvantages to graphing by hand versus using a calculator or computer are mentioned. Given the function f (x) = xe(*/x), you'll use GeoGebra to graph the function, use L'Hospital's Rule to verify the lim f (x), estimate the minimum value of the function using either calculus or the graph, and state the first and second derivatives of f. 1. Go to www.geogebra.org/calculator 2. In "Input" on the left of your screen, type f (x) = xe(/x). 3. In the Input boxes below, type f"(x) and f'(x) to identify the first and second derivatives of f. Your write-up should include typed versions of these functions. (2pts) . Click the icon at the very top left of the screen which looks like 3 horizontal bars. This will give you the option to Copy the image or Download the image. Your write-up needs to include the image of the function and its derivatives. (5pts) 5. Your write-up needs to include the local minimum for f. (3pts) 6. Finally, your write up needs to include L'Hospital's Rule to verify the lim f(x). Ideally you would type up all of your work for L'Hospital's Rule, but if you are extremely uncomfortable with this, you may include an image of neatly hand-written work as a picture, the same way you have already done with the graph. (5pts) 7. Be sure that your write-up demonstrates college-level work, which would include a header with the name of the project, the name of the class, and your own name, as well as full sentences, proper grammar, and labels for images. (5pts) 8. Be sure to save your document as a PDF and upload it to Canvas