Turunan dari $$$\operatorname{acot}{\left(u \right)}$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right)$$$.
Solusi
Turunan dari arkus kotangen adalah $$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$:
$${\color{red}\left(\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right)\right)} = {\color{red}\left(- \frac{1}{u^{2} + 1}\right)}$$Dengan demikian, $$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$.
Jawaban
$$$\frac{d}{du} \left(\operatorname{acot}{\left(u \right)}\right) = - \frac{1}{u^{2} + 1}$$$A