Misalkan f(x) = tg ( 2 sin 2x cos 2x) , maka f'(x) =
Matematika
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Pertanyaan
Misalkan f(x) = tg ( 2 sin 2x cos 2x) , maka f'(x) =
2 Jawaban
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1. Jawaban keruasriki
Karena
sin4x = 2sin2xcos2x
Maka
f(x) = tg(sin4x)
f'(x) = sec^2x . 4 . cos4x
f'(x) = 4cos4xsec^2x -
2. Jawaban Fntxsca
Sin 2x = 2 sinxcosx
Sin 4x = 2 sin 2xcos2x
F(x) = tan (2sin2xcos2x)
F(x) = tan (sin 4x)
F'(x)= sec^2x (cos4x) 4
F'(x) = 4 sec^2cos4x
Note = turunan tan x= sec^2x dan turunan sin x = cos x