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Turunan dari $$$3 \sin{\left(x \right)}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dx} \left(3 \sin{\left(x \right)}\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$ dengan $$$c = 3$$$ dan $$$f{\left(x \right)} = \sin{\left(x \right)}$$$:
$${\color{red}\left(\frac{d}{dx} \left(3 \sin{\left(x \right)}\right)\right)} = {\color{red}\left(3 \frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)}$$Turunan fungsi sinus adalah $$$\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}$$$:
$$3 {\color{red}\left(\frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)} = 3 {\color{red}\left(\cos{\left(x \right)}\right)}$$Dengan demikian, $$$\frac{d}{dx} \left(3 \sin{\left(x \right)}\right) = 3 \cos{\left(x \right)}$$$.
Jawaban
$$$\frac{d}{dx} \left(3 \sin{\left(x \right)}\right) = 3 \cos{\left(x \right)}$$$A