6x^8y^9/3x^2y^3 eching

$$\frac { 6 x ^ { 8 } y ^ { 9 } } { 3 x ^ { 2 } y ^ { 3 } }$$

Baholash

$$2\left(xy\right)^{6}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{6^{1}x^{8}y^{9}}{3^{1}x^{2}y^{3}}$$

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

$$\frac{6^{1}}{3^{1}}x^{8-2}y^{9-3}$$

8 dan 2 ni ayirish.

$$\frac{6^{1}}{3^{1}}x^{6}y^{9-3}$$

9 dan 3 ni ayirish.

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

6 ni 3 ga bo'lish.

$$2x^{6}y^{6}$$

x ga nisbatan hosilani topish

$$12x^{5}y^{6}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6y^{9}}{3y^{3}}x^{8-2})$$

Arifmetik hisobni amalga oshirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$12y^{6}x^{5}$$