18x^5y/2xy^4 eching

$$\frac { 18 x ^ { 5 } y } { 2 x y ^ { 4 } }$$

Baholash

$$\frac{9x^{4}}{y^{3}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{18^{1}x^{5}y^{1}}{2^{1}x^{1}y^{4}}$$

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

$$\frac{18^{1}}{2^{1}}x^{5-1}y^{1-4}$$

5 dan 1 ni ayirish.

$$\frac{18^{1}}{2^{1}}x^{4}y^{1-4}$$

1 dan 4 ni ayirish.

$$\frac{18^{1}}{2^{1}}x^{4}y^{-3}$$

18 ni 2 ga bo'lish.

$$9x^{4}\times \frac{1}{y^{3}}$$

x ga nisbatan hosilani topish

$$36\times \left(\frac{x}{y}\right)^{3}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18y}{2y^{4}}x^{5-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9}{y^{3}}x^{4})$$

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

$$4\times \frac{9}{y^{3}}x^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{36}{y^{3}}x^{3}$$