Question

4. Find the second partial derivatives for the function f(x,y) = x+yat (1,0). (6 Pts)

Answer 1

k Gwen f= aty ou-4.00 da C D . او s Now fx=d da 6 using & C 4 ) rule Cate) dra) - a. Il cato) Carto? (x+y). Ian.co (aty atya (M+22 = g = to (+) k ty=8 of Cality (a+y)( (platy) Caty) (+1)(0) al сх+1)-

(n+ya -a 41] . (aty) Now second partial desiutives fond (fr) da 8 a = da Laty? (2+0 g Co)- G. Jose (+233) (again by Curule Caxy)".(o) - y. QCaty). -ayCaty) - fra = -28 (AA) 200) at (1,0) from 17 (170)3

Fay = (falz 훓 Jy laty)" S. fa) a (+19) 2 Ca+가일(8) - J 업 (495 Catya 4-24 4.) CA 주가 8828 Cat 3 C fg 기간 2리임대 C44 N Now At CIO) 듸 ر 0 0 + - = C10) (7) 희 (ator dy

% (po-a.은 (+가 형 Cat 0 - 2. 2. CAN). / - (a44 2 - 니 Certy)3 29 = +3 fy At (1,0) 체 Crio) 2 2-1 C1409 " -

一47218 fya=(y)a d (ty) ここか (a) - 1.3. (A+1) (+0) 5 こ Caty14 (a+3) | - 3. 2(x+1). a+s4 プチプチ2Ng_292292 11 Cat134 っ cat484 FY-27 Cat yj4 こ Jaa - Ca-4) Caty14 At (1,0) 11 ( fyx C-tot

At Cleo - from =0 fay =1 fyr 22 fara a