Question

just the first one of b , EXPLAIN each step, don't just write it out, I need to know what you do in each step regarding the chain rule

854 Chapter 13 / Partial Derivatives E (b) Show that a? dz a'u d’z ſau du är a. dz a'u d?: au ду du Əy2 du2 loy az d?: диди Əyðr du avar du 2 до ду 50. (a) Let z=f(x² - y²). Use the result in Exercise 49(a show that tro 0 dz a'u

Answer 1

Solution :- and function of n and bi) ㅋ dz ox dx ㅋ (dz = JZ da du a both sides Wort ㅋ we have 2= 2 (u) [ie. Z is furuction of u u= ulay) [re.e is a undy Now, Z- zlu) = zlu (x,y) • (z(maxy))) 1 Column [uring [using Chain Rule Again differentiating 0 :)) (function of) function of Using product rule Right Hand side, Son 10) (4) + C) EL CO) o lemas) out)] + (a ) ) (mm) (p) [: Casino - Ceny (3) em Cent 2 ox se andy) an ㅋ da² fa Rule 2 da2 s x2 Hence, proved