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Tentukan turunan pertama fungsi trigonometri berikut! f(x) = 2x tan x + cosec x

Rani Maharani

Soal

Tentukan turunan pertama fungsi trigonometri berikut!

f(x) = 2x tan x + cosec x

Pembahasan

f (x) f^{'} (x) = 2 x tan x + csc x = \frac{d}{d x} [2 x tan x] + \frac{d}{d x} [csc x] = 2 tan x + 2 x sec^{2} x - csc x cot x = 2 tan x + 2 x sec^{2} x - \frac{1}{sin x} \cdot \frac{cos x}{sin x} = 2 tan x + 2 x sec^{2} x - \frac{cos x}{sin ^{2} x} = 2 tan x + 2 x sec^{2} x - csc x cot x

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