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