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Turunan dari $$$\sqrt{2} x$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dx} \left(\sqrt{2} x\right)$$$.
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 $$$c = \sqrt{2}$$$ dan $$$f{\left(x \right)} = x$$$:
$${\color{red}\left(\frac{d}{dx} \left(\sqrt{2} x\right)\right)} = {\color{red}\left(\sqrt{2} \frac{d}{dx} \left(x\right)\right)}$$Terapkan aturan pangkat $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ dengan $$$n = 1$$$, dengan kata lain, $$$\frac{d}{dx} \left(x\right) = 1$$$:
$$\sqrt{2} {\color{red}\left(\frac{d}{dx} \left(x\right)\right)} = \sqrt{2} {\color{red}\left(1\right)}$$Dengan demikian, $$$\frac{d}{dx} \left(\sqrt{2} x\right) = \sqrt{2}$$$.
Jawaban
$$$\frac{d}{dx} \left(\sqrt{2} x\right) = \sqrt{2}$$$A