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