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Tentukan turunan pertama setiap fungsi berikut dengan aturan rantai! y = cotan (3x - 1)

Rani Maharani

Jawaban

Diketahui fungsi:

$$y = \cot(3x - 1)$$

Untuk mencari turunan pertama fungsi tersebut, kita dapat menggunakan aturan rantai:

$$\begin{aligned} \frac{d}{dx} \cot(3x - 1) &= -\csc^2(3x - 1) \cdot \frac{d}{dx}(3x - 1) \\ &= -\csc^2(3x - 1) \cdot 3 \\ &= \boxed{-3\csc^2(3x - 1)} \end{aligned}$$

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