=tant eching

$$= \tan t$$

t ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Tangens ifodasidan foydalanish.

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

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

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

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

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

Qisqartirish.

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

Pifagor ayniyatidan foydalanish.

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

Sekant ifodasidan foydalanish.

$$\left(\sec(t)\right)^{2}$$

Baholash

$$\tan(t)$$