Kelas XII
Sukino Kelas XII
Kunci Jawaban Matematika Kelas XII Peminatan
Bab 2 Turunan Fungsi Trigonometri
RUKO 2
Bag A
19. Diketahui g(x) = 3 cotan x. Nilai dari ekspresi g ' (π/3) = ...
a. -4
b. -2
c. 0
d. 2
e. 4
Jawaban : A
g(x) = 3 cotan x
g'(x) = 3 . (- cosec2 x)
g'(x) = -3 cosec2 x
g ' (π/3) = -3 cosec2 (π/3)
g ' (π/3) = -3 / sin2 (π/3)
g ' (π/3) = -3 / (1/2 √3)2
g ' (π/3) = -3 / (3/4)
g ' (π/3) = -3 . 4/3
g ' (π/3) = - 4
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