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Turunan dari $$$3 x z$$$ terhadap $$$z$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{dz} \left(3 x z\right)$$$.
Solusi
Terapkan aturan kelipatan konstanta $$$\frac{d}{dz} \left(c f{\left(z \right)}\right) = c \frac{d}{dz} \left(f{\left(z \right)}\right)$$$ dengan $$$c = 3 x$$$ dan $$$f{\left(z \right)} = z$$$:
$${\color{red}\left(\frac{d}{dz} \left(3 x z\right)\right)} = {\color{red}\left(3 x \frac{d}{dz} \left(z\right)\right)}$$Terapkan aturan pangkat $$$\frac{d}{dz} \left(z^{n}\right) = n z^{n - 1}$$$ dengan $$$n = 1$$$, dengan kata lain, $$$\frac{d}{dz} \left(z\right) = 1$$$:
$$3 x {\color{red}\left(\frac{d}{dz} \left(z\right)\right)} = 3 x {\color{red}\left(1\right)}$$Dengan demikian, $$$\frac{d}{dz} \left(3 x z\right) = 3 x$$$.
Jawaban
$$$\frac{d}{dz} \left(3 x z\right) = 3 x$$$A