Question

Use at the chain rule to find oe and dz z = exy, x= 1 +st, y = 3² - +²

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Answer 1

solve: Giren" zsely; x= 1tst & y = 8 +2 using chain rule: - so; z=exy derivate z with respet toxic Apply chairs rule: - > Here, f= 8444 = xy So, el cel by (70) fev (34) siehen So, (x) = 1 at le* )aex}

(961) Now; undo; 4= x 4 :- a year so; d 2 = yeay - Now; x=1tst derivate it with respect to t: - et (1) +of (ist). = otsalt) so (1) 207 - SC) Now; z=ely derivate it with respect to : -

apply chain rulli - Cool ch Иле, fee" 4 = ху so, alle od (25) No euca) Now, undo; uaxhi kot tot

x = last derirate words = * = (1+5+) des - (044(50 (9=13 = ott (1) = t - derivate with respect to di- -o-2t {(xhuxhy (59203 = -2t - : y = 5-1² Ady.$($?-?). = (84-(44) = 25-0

So, Here, we have: - da & exy E 1 d = t d = r2t So; By :- ada _yekysta x 2t) - Syelaxtexy px (sy-2xt) also; By - dza 4 x y tortas - thely + 25 x exy = e (ty +95x)