6x^2/2x= eching

$$\frac { 6 x ^ { 2 } } { 2 x } =$$

Baholash

$$3x$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{6^{1}x^{2}}{2^{1}x^{1}}$$

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

$$\frac{6^{1}x^{2-1}}{2^{1}}$$

2 dan 1 ni ayirish.

$$\frac{6^{1}x^{1}}{2^{1}}$$

6 ni 2 ga bo'lish.

$$3x^{1}$$

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

$$3x$$

x ga nisbatan hosilani topish

$$3$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{2}x^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

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

Arifmetik hisobni amalga oshirish.

$$3x^{0}$$

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.

$$3$$