2x^0(2x)^0/2x eching

$$\frac { 2 x ^ { 0 } ( 2 x ) ^ { 0 } } { 2 x }$$

Baholash

$$\frac{1}{x}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{x^{0}\times \left(2x\right)^{0}}{x}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\left(2x\right)^{0}}{x^{1}}$$

0 daraja ko‘rsatkichini 2x ga hisoblang va 1 ni qiymatni oling.

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

1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.

$$\frac{1}{x}$$

x ga nisbatan hosilani topish

$$-\frac{1}{x^{2}}$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{0}\times \left(2x\right)^{0}}{x})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(2x\right)^{0}}{x^{1}})$$

0 daraja ko‘rsatkichini 2x ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x^{1}})$$

1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x})$$

ax^{n} hosilasi – nax^{n-1}.

$$-x^{-1-1}$$

-1 dan 1 ni ayirish.

$$-x^{-2}$$