12ax^2/4ax eching

$$\frac { 12 a x ^ { 2 } } { 4 a x }$$

Baholash

$$3x$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{12^{1}a^{1}x^{2}}{4^{1}a^{1}x^{1}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{12^{1}}{4^{1}}a^{1-1}x^{2-1}$$

1 dan 1 ni ayirish.

$$\frac{12^{1}}{4^{1}}a^{0}x^{2-1}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{12^{1}}{4^{1}}x^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{12^{1}}{4^{1}}x^{1}$$

12 ni 4 ga bo'lish.

$$3x$$

x ga nisbatan hosilani topish

$$3$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 4ax ni qisqartiring.

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

ax^{n} hosilasi – nax^{n-1}.

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

1 dan 1 ni ayirish.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$