36x^16y^18/29x^8y^8 eching

$$\frac { 36 x ^ { 16 } y ^ { 18 } } { 29 x ^ { 8 } y ^ { 8 } }$$

Baholash

$$\frac{36x^{8}y^{10}}{29}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{36^{1}x^{16}y^{18}}{29^{1}x^{8}y^{8}}$$

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

$$\frac{36^{1}}{29^{1}}x^{16-8}y^{18-8}$$

16 dan 8 ni ayirish.

$$\frac{36^{1}}{29^{1}}x^{8}y^{18-8}$$

18 dan 8 ni ayirish.

$$\frac{36^{1}}{29^{1}}x^{8}y^{10}$$

36 ni 29 ga bo'lish.

$$\frac{36}{29}x^{8}y^{10}$$

x ga nisbatan hosilani topish

$$\frac{288x^{7}y^{10}}{29}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{36y^{18}}{29y^{8}}x^{16-8})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{36y^{10}}{29}x^{8})$$

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

$$8\times \frac{36y^{10}}{29}x^{8-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{288y^{10}}{29}x^{7}$$