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