sqrt{x}div3sqrt{x} eching

$$\sqrt { x } \div 3 \sqrt { x }$$

Baholash

$$\frac{x}{3}$$

Yechim qadamlari

\frac{\sqrt{x}}{3}\sqrt{x} ni yagona kasrga aylantiring.

$$\frac{\sqrt{x}\sqrt{x}}{3}$$

\left(\sqrt{x}\right)^{2} hosil qilish uchun \sqrt{x} va \sqrt{x} ni ko'paytirish.

$$\frac{\left(\sqrt{x}\right)^{2}}{3}$$

2 daraja ko‘rsatkichini \sqrt{x} ga hisoblang va x ni qiymatni oling.

$$\frac{x}{3}$$

x ga nisbatan hosilani topish

$$\frac{1}{3} = 0,3333333333333333$$

Derivativ ifodasidan foydalanish qadamlari

\frac{\sqrt{x}}{3}\sqrt{x} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\sqrt{x}\sqrt{x}}{3})$$

\left(\sqrt{x}\right)^{2} hosil qilish uchun \sqrt{x} va \sqrt{x} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(\sqrt{x}\right)^{2}}{3})$$

2 daraja ko‘rsatkichini \sqrt{x} ga hisoblang va x ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{1}{3}x^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{1}{3}x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{1}{3}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{1}{3}$$