MATA33H3 Lecture Notes - Saddle Point
3
MATA33H3 Full Course Notes
Verified Note
3 documents
Document Summary
Chain rule flgcx) ) :-p " (glx) ) . gy ) z=fl ,y ) Rts2-hlr. si y - z-sflglnsi. hlr. si) (4 92+3) (5) + ( 4 4+10 g) (1) Z=fl ,y,t ) a function oh 3 independent variables suppose d = 14 5-+3) ( r)-114 29+10 g) 12s) 010cal min at pig 747 better graph: local max at 1h , , 6 lhzibz) & la , , , be, ) Z= flay] has relative (local) min at la , b) means close to la , b) flhibk-flayjv-lxiy. ie d sufficiently. Def:z=fl ,y) has a relative ( local) max at. La,. b? means flu , b) ? flay) b- ( , y ) ed suffleciently close to (gib) let zflx. gl a hunction oh independent variables f:{x. ylx. yc. ir, graph oh 2- T17. 4 optimization ah functions ah z variables extrema club){ f- % tangent q plane y :b: f- 1 1 surface. Cp line/ tl i. a. l ex . hind cp a.
