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47:16
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Multivariable Calculus Video 9: Multivariable Functions, Contour Plots, Partial Derivatives
At 30:10 it is the limit as delta x approaches 0 and delta y approaches 0 messed up there Also at 31:02 it's just the limit as delta x approaches 0 of delta y/delta x which is dy/dx YES you can have multivariable functions with more than 2 variables and YES you can take higher order partial derivatives!
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