Question

(a) Find the derivative. y = In(4x – 5) – 3 In(x) dy dx (b) Find the derivative. 4x - y = = In dx State whether the function in part (b) is the same function as that in part (a). The function in part (b) is the same function as that in part (a). The function in part (b) is not the same function as that in part (a).

Answer 1

solution :- las y = lnc ax - 5) - 3 In (re) differentiating en 10 wor.to we get لاله dr .31n (ser} {Incau-51 dre denean-s) dre 3.d Incx) du 3 a dial4u-s)x d (4x-5) d(4-5) Ire deniny du [using chain rule] 4 3 (4-5) (4x-5) 3 dy - 0 dy dt or 4 4x-5 IS-SX x(46-5) dr 16) Wirito get ya hnd quotes) differentiating ean (2) din (4) لالے dre 4X-5 4x-5 den In ( d dr a la 23 (4-5) (3x) (432 4x-5

2 4 x3, 12x3 + 15x² en ing ( 9«?_12** * 15x4] 3 15x²-8% 4x-5 لا 26 2 x3 42-5 [145 (15 – 82) 26 2 15-82 42-5 26 15-82 dr (4x-5) The function en part (be es sane as the feoretion In part was because If yzen ( 4 ) = ln (14-5) -ln (23) [As enemny =lnim, tbring] y a beanas) - 3 ln (x) then which is same as en part las.