tank= eching

$$\tan k =$$

k ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Tangens ifodasidan foydalanish.

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

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

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

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

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

Qisqartirish.

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

Pifagor ayniyatidan foydalanish.

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

Sekant ifodasidan foydalanish.

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

Baholash

$$\tan(k)$$