diketahui fungsi f (x) = 2 sin 2x. maka f1 (π/2) =
Matematika
ayuelis
Pertanyaan
diketahui fungsi f (x) = 2 sin 2x. maka f1 (π/2) =
2 Jawaban
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1. Jawaban ahreumlim
f(x) = 2 sin2x
f '(x) = 2 . 2 cos2x
f '(x) = 4 cos2x
f '(π/2) = 4 cos 2(π/2)
= 4 cos π
= 4 (-1)
= -4 -
2. Jawaban rahayupj650
f(x) = 2 sin 2X
f'(x) =
misalkan u = 2 u'=0
v = sin 2x v' = 1/2 cos 2x
f'(X) = uv'- u'v
= 2×1/2 cos 2x - 0×sin2X
= cos 2X -0
= cos 2X
nilai dari F( π/2)
F(π/2)= cos 2×π/2)
= cos π
= -1