frac{16m^{36}n^{28}p^18}{4m^18n^14p^9} eching

$$\frac { 16 m ^ { 36 } n ^ { 28 } p ^ { 18 } } { 4 m ^ { 18 } n ^ { 14 } p ^ { 9 } }$$

m ga nisbatan hosilani topish

$$72p^{9}n^{14}m^{17}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{16p^{18}n^{28}}{4p^{9}n^{14}}m^{36-18})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(4p^{9}n^{14}m^{18})$$

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

$$18\times 4p^{9}n^{14}m^{18-1}$$

Arifmetik hisobni amalga oshirish.

$$72p^{9}n^{14}m^{17}$$

Baholash

$$4p^{9}n^{14}m^{18}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 4p^{9}n^{14}m^{18} ni qisqartiring.

$$4p^{9}n^{14}m^{18}$$