tentukan turunan fungsi pertama f(x) = tanx / cosx thx before

³ Turunan Trigonometri

y = u/v --> y' = u'v - uv' / v²

y = tan x / cos x
u= tan x --> u' = sec² x
v = cos x --> v' = -sin x

y' = { sec² x . cos x - tan x. (-sin x) } / (cos x)²

y' =  {1/cos x + (sin² x)/cos } / (cos x)²
y' = (1 + sin² x)/ (cos x)(cos x)²
y' = (1 + sin² x)/ (cos³ x)