frac{2x^{2}y^2}{1x^2y^2*3x^-3} eching

$$\frac { 2 x ^ { 2 } y ^ { 2 } } { 1 x ^ { 2 } y ^ { 2 } \cdot 3 x ^ { - 3 } }$$

Baholash

$$\frac{2x^{3}}{3}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -3 ni qo‘shib, -1 ni oling.

$$\frac{2x^{2}y^{2}}{1x^{-1}y^{2}\times 3}$$

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

$$\frac{2x^{2}}{3\times \frac{1}{x}}$$

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

$$\frac{2x^{3}}{3}$$

x ga nisbatan hosilani topish

$$2x^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{2}x^{3}}{3y^{2}}x^{2-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x^{3}}{3}x^{0})$$

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

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

Konstantaning hosilasi 0 ga teng.

$$0$$