2xy^2/6x^3*y eching

$$\frac { 2 x y ^ { 2 } } { 6 x ^ { 3 } \cdot y }$$

Baholash

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

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{2^{1}x^{1}y^{2}}{6^{1}x^{3}y^{1}}$$

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

$$\frac{2^{1}}{6^{1}}x^{1-3}y^{2-1}$$

1 dan 3 ni ayirish.

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

2 dan 1 ni ayirish.

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

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

x ga nisbatan hosilani topish

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

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{2}}{6y}x^{1-3})$$

Arifmetik hisobni amalga oshirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\left(-\frac{2y}{3}\right)x^{-3}$$