tan(x) eching

$$\tan ( x )$$

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Tangens ifodasidan foydalanish.

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

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

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

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

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

Qisqartirish.

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

Pifagor ayniyatidan foydalanish.

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

Sekant ifodasidan foydalanish.

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

Baholash

$$\tan(x)$$