-x^4(2xyz^2)^0/x^2 eching

$$\frac { - x ^ { 4 } ( 2 x y z ^ { 2 } ) ^ { 0 } } { x ^ { 2 } }$$

Baholash

$$-x^{2}$$

Qisqa yechim qadamlari

0 daraja ko‘rsatkichini 2xyz^{2} ga hisoblang va 1 ni qiymatni oling.

$$\frac{\left(-x^{4}\right)\times 1}{x^{2}}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-x^{4}}{x^{2}}$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$-x^{2}$$

x ga nisbatan hosilani topish

$$-2x$$

Derivativ ifodasidan foydalanish qadamlari

0 daraja ko‘rsatkichini 2xyz^{2} ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(-x^{4}\right)\times 1}{x^{2}})$$

\frac{\left(-x^{4}\right)\times 1}{x^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-x^{4}}{x^{2}})$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{2})$$

ax^{n} hosilasi – nax^{n-1}.

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

2 ni -1 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

$$-2x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$-2x$$