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