Question

Find y' if x V = y*. Simplify where possible.

Answer 1

with base e, we Taking log both sides b.lnca) 2, De gel We have, ay get a label) = enly) In(ab) Y. ln (21) x. ln(y) diff, both sides with respect to aylon(x) ) = 2 { x: ln(t)} or yo hence) + enco. 2 (t) = nie leng) - tri dan By product Rece of differentiation, a luiv) = unde & w. du are functions of a os d dr where Uv or y. I + loody 거 2.1 + Incos (As. I lentes ] = 1 거 Y + ln(2).dy 뮤 da X dy у da + Cosy) 거 07 In(a). dy dr lon (7) - 7 300 y dx &
The answer sheet has two pages.it is the first page
OV. ln (x). dy x dy da ī - Chlug = du H ln (2) - 24 Kolosly) - 4 dal у 거 dy da Y. ln (2) У Kolo(y)- y X 1-(1) wzox 1) X X Yen(a)- x yl y (x.ln(y)- y) H(yen(t)- x) dy 2-y! up Therefore, 4(xiln(y) - Y) 21 28 7. ln(1) - x
second/last page