Tentukan turunan keempat dari (y = 2 tan x - cos x) !
subebe
Y = 2 tan x - cos x y' = 2 sec² x + sin x y" = 4 sec x tan x (sec x ) + cos x = 4 sec² x tan x + cos x y"' = 4 (2 sec x tan x (sec x) tan x + sec³ x) - sin x = 8 sec² x tan² x + 4 sec³ x - sin x y"" = 8 (2 sec² tan³ x + sec^4 tan x) + 12 sec³ tan x - cos x = 16 sec³ tan³ + 8 sec^4 tan x + 12 sec³ tan x - cos x
y' = 2 sec² x + sin x
y" = 4 sec x tan x (sec x ) + cos x
= 4 sec² x tan x + cos x
y"' = 4 (2 sec x tan x (sec x) tan x + sec³ x) - sin x
= 8 sec² x tan² x + 4 sec³ x - sin x
y"" = 8 (2 sec² tan³ x + sec^4 tan x) + 12 sec³ tan x - cos x
= 16 sec³ tan³ + 8 sec^4 tan x + 12 sec³ tan x - cos x