n^-6/42*n^-7*n^7 eching

$$\frac { n ^ { - 6 } } { 42 \cdot n ^ { - 7 } \cdot n ^ { 7 } }$$

n ga nisbatan hosilani topish

$$-\frac{1}{7n^{7}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{1}{42n^{7}}n^{-6-\left(-7\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{1}{42n^{7}}n^{1})$$

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

$$\frac{1}{42n^{7}}n^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{1}{42n^{7}}n^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{1}{42n^{7}}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{1}{42n^{7}}$$

Baholash

$$\frac{1}{42n^{6}}$$

Yechim qadamlari

1 hosil qilish uchun n^{-7} va n^{7} ni ko'paytirish.

$$\frac{n^{-6}}{42}$$