h(t)=cott eching

$$h ( t ) = \cot t$$

t ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Katangens ifodasidan foydalanish.

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

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

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

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

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

Qisqartirish.

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

Pifagor ayniyatidan foydalanish.

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

Kosekans ifodasidan foydalanish.

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

Baholash

$$\cot(t)$$