-27x^2ydiv(-7xy) eching

$$- 27 x ^ { 2 } y \div ( - 7 x y )$$

Baholash

$$\frac{27x}{7}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-27\right)^{1}x^{2}y^{1}}{\left(-7\right)^{1}x^{1}y^{1}}$$

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

$$\frac{\left(-27\right)^{1}}{\left(-7\right)^{1}}x^{2-1}y^{1-1}$$

2 dan 1 ni ayirish.

$$\frac{\left(-27\right)^{1}}{\left(-7\right)^{1}}x^{1}y^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{\left(-27\right)^{1}}{\left(-7\right)^{1}}xy^{0}$$

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

$$\frac{\left(-27\right)^{1}}{\left(-7\right)^{1}}x$$

-27 ni -7 ga bo'lish.

$$\frac{27}{7}x$$

x ga nisbatan hosilani topish

$$\frac{27}{7} = 3\frac{6}{7} = 3,857142857142857$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{27y}{-7y}\right)x^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{27}{7}x^{1})$$

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

$$\frac{27}{7}x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{27}{7}x^{0}$$

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

$$\frac{27}{7}\times 1$$

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

$$\frac{27}{7}$$