Main Part
 
The directional derivative and the chain rule
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The directional derivative
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACAy2MywrCMBBFf0Wytk06fdh0KYIfYN24S5MRgmkDeZSK%2BO8m6moOc%2B89L7KIGclAzhF92F09OrInMZ%2BBbHpGJ0rrY4kq0vz1tONN18qe36FR9QF5zete4KTSTImQVcCgLSoogI2sH6AagJesgVtqSBudzx06WyujiZ5KYb4AI25hsvZxfF5QBm0XqrT7kTAndHoVQa%2F4D5Ms6GCyK6GX1iVk7w9%2FVgC%2B0AAAAA%3D%3D/jVHOpyxZwCwbriYDcN4HmHt9COeEiiCrZHe4IDtPGoszPQBqMLJN40XQCrpVLvGeMYH%2BmlZX1TpDdTN0Gmwq0uzNEIuoJDIvqva2e8gG4o522K9UFrLY92wEZf69IF%2BTHLeu4VwJfIJSbzbGIqLrJ7Lty3r%2BKVdSheWX%2BaxFqkfR6dJo9qjJlGi%2F1H8YTyPctYX23gPPX%2Fm79%2FnnA%2B0Xd3va1Z%2FLq5aG1Rv2%2B7Bpau4HKP08cPVvNdFvarZHMLyFsLw39%2Bzlm4fhS58LbpcM64CiCjyodwsamLsNJuJxyAC6CA%2Fx7w8jAQwxdAxlFLxiGHIzXhPcZPFgQMSv2ieEPQ%3D%3D