Bab 2 Ruko 2 Matematika Kelas XII Sukino no 24

Soal dan Pembahasan Matematika Sukino
Kelas XII
Sukino Kelas XII
Kunci Jawaban Matematika Kelas XII Peminatan
Bab 2 Turunan Fungsi Trigonometri
RUKO 2
Bag A

24. Jika R(x) = x cos x, maka R ' (x + π/2) = ...

a. - sin x - x cos x + π/2 cos x
b. - sin x + x cos x - π/2 cos x
c. - sin x - x cos x - π/2 cos x
d. - sin x + x cos x + π/2 cos x
e. - x sin x - cos x + π/2 cos x

Jawaban : C

R(x) = x cos x

u = x
u ' = 1

v = cos x
v ' = - sin x

R(x) = u . v
R ' (x) = u' . v + v' . u
R ' (x) = 1. cos x + (- sin x) . x
R ' (x) = cos x - x sin x

R ' (x + π/2) = cos (x + π/2) - (x + π/2) sin (x + π/2)

sifat :
cos (x + π/2) = - sin (x)
sin (x + π/2) = cos (x)

R ' (x + π/2) = cos (x + π/2) - (x + π/2) sin (x + π/2)
R ' (x + π/2) = - sin x - (x + π/2) cos x
R ' (x + π/2) = - sin x - x cos x - π/2 cos x



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