3/7x^{3}y^{8}z^8:(-1/4x^5y^6z^6) eching

$$\frac { 3 } { 7 } x ^ { 3 } y ^ { 8 } z ^ { 8 } : ( - \frac { 1 } { 4 } x ^ { 5 } y ^ { 6 } z ^ { 6 } )$$

x ga nisbatan hosilani topish

$$\frac{24\left(yz\right)^{2}}{7x^{3}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3y^{8}z^{8}}{7\left(-\frac{y^{6}z^{6}}{4}\right)}x^{3-5})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{12y^{2}z^{2}}{7}\right)x^{-2})$$

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

$$-2\left(-\frac{12y^{2}z^{2}}{7}\right)x^{-2-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{24y^{2}z^{2}}{7}x^{-3}$$

Baholash

$$-\frac{12\times \left(\frac{yz}{x}\right)^{2}}{7}$$

Yechim qadamlari

Surat va maxrajdagi ikkala x^{3}y^{6}z^{6} ni qisqartiring.

$$\frac{\frac{3}{7}y^{2}z^{2}}{-\frac{1}{4}x^{2}}$$