Turunan dari cotan x - sin x = .....
Matematika
veronikacitra
Pertanyaan
Turunan dari cotan x - sin x = .....
1 Jawaban
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1. Jawaban adryanta
f(x) = cotan x - sin x
= (1/tan x) - sin x
= (1/sin x/cos x) - sin x
= (cos x/sin x) - sin x
f'(x) = [((-sinx (sin x)) - (cos x (cosx))) / cos^2 x] - cos x
= [(-sin^2 x - cos^2x) / cos^2 x] - cos x
= - 1/cos^2x - cos x