7j^3/7j^-1*j^9 eching

$$\frac { 7 j ^ { 3 } } { 7 j ^ { - 1 } \cdot j ^ { 9 } }$$

Baholash

$$\frac{1}{j^{5}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va 9 ni qo‘shib, 8 ni oling.

$$\frac{7j^{3}}{7j^{8}}$$

Surat va maxrajdagi ikkala 7j^{3} ni qisqartiring.

$$\frac{1}{j^{5}}$$

j ga nisbatan hosilani topish

$$-\frac{5}{j^{6}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}j}(\frac{7}{7j^{9}}j^{3-\left(-1\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}j}(\frac{1}{j^{9}}j^{4})$$

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

$$4\times \frac{1}{j^{9}}j^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{4}{j^{9}}j^{3}$$