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