Maxima a minima of functions of severalvariables EHI IM If x y then fix y has either a relative maximum or minimum at la b o and aib 0 f x y 2 2 2xy 5y 6 ex The graph of inimum point Find its coordinates 4 29 6 5 shows that flx y has a Hy 2 109 2 109 0 If 11 514 5 there is f 4 29 6 0 415 29 6 20g 2y 6 1815 If Y z My 14 14 119 y YE 60 44 ff 15 15V tix 11 1 y ixfff tt III 14T o Isr IN 3 5019100 1442 151111 147 8406 FIFTEEN 3775 616 56 i The building should be 56ft long 60 ft wide ahd44fethightominimizetheheatl s de the second derivative for functions Test of two variables Sakeshapegraph la b both partials are and yet the function has neither a Max nor min zero at ext going back to the 1 example We determined the pt elative minimum for the function 2 2 2xy 5y 6 evify this using the 2 derivative test 2T 4 29 6 2 10 5 53 is a 2 109 2 2 4 Dix g g If II if Dlyg so and 2 270 pyenmyyfyyqg ILettlx ys 3 y 12 69 5 Find all possible Relative maximum III E g 1 use the second derivative test to determine the 3 2 ox 12 3 2 12 0 3 2 12 1 20 6 29 6 0 If 2 2 0 possible Rel extremepts are 2 3 1 213 6 71 2 02 12 m Im 121 2 DI 1 2 3 24 70 1220 6 61 2 i relatiemn EE
View Full Document
Unlocking...