Question

need help asap please

Given the following functions: f(u) =tan(u) and g(2) = x. Find: f(g(x)) = f'(u) = f'(g(x)) = ( g'(x) = (fog)'(x) = 0

Answer 1

TThis problem solution is depending on composition of two functions.

Questions - Given the following functions: flu) = tanu and goes ax6 find: ; f(g(x)) iis teus liil f'cqou) iv) glix v (fog)(x) solution. Given frus= tanu and gix = x6 i) f(g(x)) = f(36) B = tanas [since f(u) = tanu). - Replate uby at ii) f'lu) = (tanu) = sechu f'(902)) = f'(26) = sed²(x6) [since f(u) = secu] Replace u by ab iv) glex) = 6x5 w (fog)'co) = {(fog)(x)]' = ?f [ g(x)}}' = f (36)]' - (tan()) = sec cx) (645) Hog)'(x) = 6x5 sec*cx6). Cams cat * = f'cgexv).gles) Scanned with amila