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