Skip to content Skip to sidebar Skip to footer

Jika f(x) = sin x cos x – sec x, nilai f'(π/4) =

Jika f(x) = sin x cos x – sec x, nilai f'(π/4) = ….

    A.   -1 - √2

    B.    -√2

    C.    1 - √2

    D.   √2

    E.    1 + √2

Pembahasan:

f(x) = sin x cos x – sec x

f'(x) = cos x cos x + sin x (-sin x) – sec x tan x

        = cos2 x – sin2 x – sec x tan x

f'(π/4) = cos2 (π/4) – sin2 (π/4) – sec (π/4) tan (π/4)

          = (½√2)2 – (½√2)2 – (√2) . 1

          = ½ – ½ – √2

f'(π/4) = -√2

JawabanB

----------------#----------------

Semoga Bermanfaat
Jangan lupa komentar & sarannya
Email: nanangnurulhidayat@gmail.com
Kunjungi terus: masdayat.net OK! 😁

Post a Comment for "Jika f(x) = sin x cos x – sec x, nilai f'(π/4) ="