F(x)=seck eching

$$F ( x ) = \sec k$$

k ga nisbatan hosilani topish

$$\frac{\tan(k)}{\cos(k)}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Sekant ifodasidan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{\cos(k)})$$

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

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

1 konstantaning derivativi 0 va cos(k) derivativi −sin(k).

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

Qisqartirish.

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

Koeffitsientni ikki koeffitsient koʻpaytmasi sifatida ustidan yozish.

$$\frac{1}{\cos(k)}\times \frac{\sin(k)}{\cos(k)}$$

Sekant ifodasidan foydalanish.

$$\sec(k)\times \frac{\sin(k)}{\cos(k)}$$

Tangens ifodasidan foydalanish.

$$\sec(k)\tan(k)$$

Baholash

$$\frac{1}{\cos(k)}$$