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Concrete example of the derivative of a vector valued function to better understand what it means
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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
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On this page of the site you can watch the video online Vector valued function derivative example | Multivariable Calculus | Khan Academy with a duration of hours minute second in good quality, which was uploaded by the user Khan Academy 26 February 2010, share the link with friends and acquaintances, this video has already been watched 208,090 times on youtube and it was liked by 1.2 thousand viewers. Enjoy your viewing!