-9x^3y^-2/3x^5y^-4 eching

$$\frac { - 9 x ^ { 3 } y ^ { - 2 } } { 3 x ^ { 5 } y ^ { - 4 } }$$

Baholash

$$-3\times \left(\frac{y}{x}\right)^{2}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3x^{3} ni qisqartiring.

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

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

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

x ga nisbatan hosilani topish

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

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(-\frac{9}{y^{2}}\right)y^{4}}{3}x^{3-5})$$

Arifmetik hisobni amalga oshirish.

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

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

$$-2\left(-3y^{2}\right)x^{-2-1}$$

Arifmetik hisobni amalga oshirish.

$$6y^{2}x^{-3}$$