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July 17, 2021 01:19
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<title>Calculus notes</title> | |
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<p align ="center"><u>Local linear approximation , Error and distance</u> | |
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1) Find the points $$(x_{0},y_{0}),(x,y)$$ | |
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2) Finding local linear approximation | |
$$L(x,y) = f(x,y)+f_{xx}(x,y).(x-x_{0})+f_{yy}(x,y).(y-y_{0})$$ | |
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3) Finding the Error | |
$$f(x,y) = \sqrt{x^2+y^2}$$ | |
$$E = f(x,y) - L(x,y)$$ | |
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4) Finding the distance | |
$$D = \sqrt{(x-x{0})^2+(y-y{0})^2}$$ | |
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