MATH 32A Lecture Notes - Lecture 16: Preposition And Postposition
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Def the partial derivative with respect to x at ca b of flag a b hling f ath b _f a b h. The partial derivative with respect to y at ca b of flag. 212gcab fca thing f a bth h the other variable as constant and do the. 2,1 2,7 2 y is constant wut x x2txy y2 g xt2y y x is constant wht flay. 1 ye ye s e y so what does this measure. The ordinary 1 variable derivative gives i slope of the tangent line ii approximate change in f tangent to a a trace y b trace tangent to y b trace t. fiaff i. Picture showing what"s going or a trace i l plane x a x a i. The partials describe for us slopes of the tangent lines to slices as curves in the various plans. Here is just the slice for x a.
