If f(x)=sec(x), find f''(π/4).

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poprskanvxcl

Answered question

2023-02-17

If f ( x ) = sec ( x ) , find f ( π 4 )

Answer & Explanation

Idabuluq3xg

Idabuluq3xg

Beginner2023-02-18Added 6 answers

f ( x ) = sec x
f ( x ) = sec x tan x
f ( x ) = ( sec x tan x ) tan x + sec x ( sec 2 x )
f ( x ) = sec x tan 2 x + sec 3 x
f ( π 4 ) = sec ( π 4 ) tan 2 ( π 4 ) + sec 3 ( π 4 ) = ( 2 ) ( 1 ) 2 + ( 2 ) 3 = 2 + 2 2 = 3 2

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