d/dxleft(cot(x)right) eching

$$\frac{d}{d x } \left( \cot ( x ) \right)$$

Baholash

$$-\frac{1}{\left(\sin(x)\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Katangens ifodasidan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\cos(x)}{\sin(x)})$$

Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.

$$\frac{\sin(x)\frac{\mathrm{d}}{\mathrm{d}x}(\cos(x))-\cos(x)\frac{\mathrm{d}}{\mathrm{d}x}(\sin(x))}{\left(\sin(x)\right)^{2}}$$

sin(x) derivativi cos(x) dir va cos(x) derivativi −sin(x) dir.

$$\frac{\sin(x)\left(-\sin(x)\right)-\cos(x)\cos(x)}{\left(\sin(x)\right)^{2}}$$

Qisqartirish.

$$-\frac{\left(\sin(x)\right)^{2}+\left(\cos(x)\right)^{2}}{\left(\sin(x)\right)^{2}}$$

Pifagor ayniyatidan foydalanish.

$$-\frac{1}{\left(\sin(x)\right)^{2}}$$

Kosekans ifodasidan foydalanish.

$$-\left(\csc(x)\right)^{2}$$

x ga nisbatan hosilani topish

$$\frac{2\cot(x)}{\left(\sin(x)\right)^{2}}$$