16m^8/4m^6*2m= eching

$$\frac { 16 m ^ { 8 } } { 4 m ^ { 6 } \times 2 m } =$$

Baholash

$$2m$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 1 ni qo‘shib, 7 ni oling.

$$\frac{16m^{8}}{4m^{7}\times 2}$$

Surat va maxrajdagi ikkala 2\times 4m^{7} ni qisqartiring.

$$2m$$

m ga nisbatan hosilani topish

$$2$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{16}{8m}m^{8-6})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{2}{m}m^{2})$$

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

$$2\times \frac{2}{m}m^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{4}{m}m^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$\frac{4}{m}m$$