3/7x^{5}x^{8}z^8:(-1/14x^5y^6z^6)= eching

$$\frac { 3 } { 7 } x ^ { 5 } x ^ { 8 } z ^ { 8 } : ( - \frac { 1 } { 14 } x ^ { 5 } y ^ { 6 } z ^ { 6 } ) =$$

Baholash

$$-\frac{6z^{2}x^{8}}{y^{6}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 8 ni qo‘shib, 13 ni oling.

$$\frac{\frac{3}{7}x^{13}z^{8}}{-\frac{1}{14}x^{5}y^{6}z^{6}}$$

Surat va maxrajdagi ikkala x^{5}z^{6} ni qisqartiring.

$$\frac{\frac{3}{7}z^{2}x^{8}}{-\frac{1}{14}y^{6}}$$

x ga nisbatan hosilani topish

$$-\frac{48z^{2}x^{7}}{y^{6}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3x^{8}z^{8}}{7\left(-\frac{y^{6}z^{6}}{14}\right)}x^{5-5})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{6z^{2}x^{8}}{y^{6}}\right)x^{0})$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

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

Konstantaning hosilasi 0 ga teng.

$$0$$