13c^9d^10/-26c^9d eching

$$\frac{ 13 { c }^{ 9 } { d }^{ 10 } }{ -26 { c }^{ 9 } d }$$

Baholash

$$-\frac{d^{9}}{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{13^{1}c^{9}d^{10}}{\left(-26\right)^{1}c^{9}d^{1}}$$

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

$$\frac{13^{1}}{\left(-26\right)^{1}}c^{9-9}d^{10-1}$$

9 dan 9 ni ayirish.

$$\frac{13^{1}}{\left(-26\right)^{1}}c^{0}d^{10-1}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{13^{1}}{\left(-26\right)^{1}}d^{10-1}$$

10 dan 1 ni ayirish.

$$\frac{13^{1}}{\left(-26\right)^{1}}d^{9}$$

\frac{13}{-26} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{2}d^{9}$$

d ga nisbatan hosilani topish

$$-\frac{9d^{8}}{2}$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 13dc^{9} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{d^{9}}{-2})$$

ax^{n} hosilasi – nax^{n-1}.

$$9\left(-\frac{1}{2}\right)d^{9-1}$$

9 ni -\frac{1}{2} marotabaga ko'paytirish.

$$-\frac{9}{2}d^{9-1}$$

9 dan 1 ni ayirish.

$$-\frac{9}{2}d^{8}$$