12x^2y^-4/2x^3y^2 eching

$$\frac { 12 x ^ { 2 } y ^ { - 4 } } { 2 x ^ { 3 } y ^ { 2 } }$$

Baholash

$$\frac{6}{xy^{6}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2x^{2} ni qisqartiring.

$$\frac{6y^{-4}}{xy^{2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{6}{xy^{6}}$$

x ga nisbatan hosilani topish

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

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{y^{4}\times 2y^{2}}x^{2-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{y^{6}}\times \frac{1}{x})$$

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

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

Arifmetik hisobni amalga oshirish.

$$\left(-\frac{6}{y^{6}}\right)x^{-2}$$