6x^2y^2/3x^-6y^4 eching

$$\frac { 6 x ^ { 2 } y ^ { 2 } } { 3 x ^ { - 6 } y ^ { 4 } }$$

Baholash

$$\frac{2x^{8}}{y^{2}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3y^{2} ni qisqartiring.

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

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

$$\frac{2x^{8}}{y^{2}}$$

x ga nisbatan hosilani topish

$$\frac{16x^{7}}{y^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6y^{2}}{3y^{4}}x^{2-\left(-6\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{y^{2}}x^{8})$$

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

$$8\times \frac{2}{y^{2}}x^{8-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{16}{y^{2}}x^{7}$$