frac{m^{2}n^{-1}p^-9}{m^-7n^8p^5} eching

$$\frac { m ^ { 2 } n ^ { - 1 } p ^ { - 9 } } { m ^ { - 7 } n ^ { 8 } p ^ { 5 } }$$

Baholash

$$\frac{\left(\frac{m}{n}\right)^{9}}{p^{14}}$$

Yechim qadamlari

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

$$\frac{p^{-9}\times \frac{1}{n}m^{9}}{p^{5}n^{8}}$$

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

$$\frac{m^{9}}{n^{9}p^{14}}$$

m ga nisbatan hosilani topish

$$\frac{9m^{8}}{n^{9}p^{14}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1}{np^{9}p^{5}n^{8}}m^{2-\left(-7\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1}{n^{9}p^{14}}m^{9})$$

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

$$9\times \frac{1}{n^{9}p^{14}}m^{9-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{9}{n^{9}p^{14}}m^{8}$$