Ano ang ikalawang nanggaling ng function f (x) = sec x?

Sagot:

#f '' (x) = sec x (sec ^ 2 x + tan ^ 2 x) #

Paliwanag:

ibinigay na pag-andar:

#f (x) = sec x #

Nakakalipat ng w.r.t. # x # tulad ng sumusunod

# frac {d} {dx} f (x) = frac {d} {dx} (sec x) #

#f '(x) = sec x tan x #

Muli, iba-iba #f '(x) # w.r.t. # x #, makuha namin

# frac {d} {dx} f '(x) = frac {d} {dx} (sec x tan x) #

#f '' (x) = sec x frac {d} {dx} tan x + tan x frac {d} {dx} secx #

# = sec xsec ^ 2 x + tan x sec x tan x #

# = sec ^ 3 x + sec x tan ^ 2 x #

# = sec x (sec ^ 2 x + tan ^ 2 x) #