Partial derivatives and the gradient vector

 

verifyClairaut1.tex

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verifyClairaut2.tex

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linearApprox1.tex

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linearApprox2.tex

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linearApprox3.tex

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gradient2.tex

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gradient3.tex

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contour1.tex

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table1.tex

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contour2.tex

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contour3.tex

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gradientAndLevelCurve.tex

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Overall

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https://ximera.osu.edu/certificate/H4sIAAAAAAACAz2MywrCMBBFf0Wyts2jD9vuBMGNS3XhLiQjBtpGZiYiiP9usnF1D5d7z0esdgExiWMC4s2FAMVWpBKTeIcF0NaRUg0%2BydKS7Mex242Dboxu2rbbGe%2F1vbN9vnnLRWWU6StlKj2c1TA17aTbWnX9LS9cTEhlI5cYXZoTyadFDnY%2BAIaX5fAC2q%2F%2B%2FIAjWh9g5Ss4jijhDegCAf3pFIizkgPPxZiRXMSM6vsDfZg1BtYAAAA%3D/Kj9nLJ%2B6aFZreRAPGbJoBcgV%2FCv5mtN06ODQLXJdn2cPJyzmZhcGAERfx9O6XY3TKsjMlLYqqRvrjJ4k0f4rKZKVu3wq7HAzc6uQDACno7Za7LMJHIvtKFHuzs32ucskgRTeGUlRvi68No9fTXxYYbZskk73p%2BbvQoNEJOQi%2FcSrSr7GKQRAmUOiLlvks81rrDMMLlF2F6wOCK7Msm5EUTusWCS1nBgkCOHTqh744Pqy9W1mE95RHsXMZNBQRidt0jZxUscQ0NjM4zdiScU0S%2F%2FbjPjDzyBLZoMN%2BSjsfIa4uuevH1D1TL1baIKiskc5VPQ87arrMtEWycntEz0KUw%3D%3D