Turunan kedua dari $$$\pi$$$
Kalkulator terkait: Kalkulator Turunan, Kalkulator Diferensiasi Logaritmik
Masukan Anda
Temukan $$$\frac{d^{2}}{d\pi^{2}} \left(\pi\right)$$$.
Solusi
Tentukan turunan pertama $$$\frac{d}{d\pi} \left(\pi\right)$$$
Terapkan aturan pangkat $$$\frac{d}{d\pi} \left(\pi^{n}\right) = n \pi^{n - 1}$$$ dengan $$$n = 1$$$, dengan kata lain, $$$\frac{d}{d\pi} \left(\pi\right) = 1$$$:
$${\color{red}\left(\frac{d}{d\pi} \left(\pi\right)\right)} = {\color{red}\left(1\right)}$$Dengan demikian, $$$\frac{d}{d\pi} \left(\pi\right) = 1$$$.
Selanjutnya, $$$\frac{d^{2}}{d\pi^{2}} \left(\pi\right) = \frac{d}{d\pi} \left(1\right)$$$
Turunan dari suatu konstanta adalah $$$0$$$:
$${\color{red}\left(\frac{d}{d\pi} \left(1\right)\right)} = {\color{red}\left(0\right)}$$Dengan demikian, $$$\frac{d}{d\pi} \left(1\right) = 0$$$.
Oleh karena itu, $$$\frac{d^{2}}{d\pi^{2}} \left(\pi\right) = 0$$$.
Jawaban
$$$\frac{d^{2}}{d\pi^{2}} \left(\pi\right) = 0$$$A
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