c^9/6c^4 eching

$$\frac { c ^ { 9 } } { 6 c ^ { 4 } }$$

Baholash

$$\frac{c^{5}}{6}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(c^{1}\right)^{9}\times \frac{1}{6c^{4}}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$1^{9}\left(c^{1}\right)^{9}\times \frac{1}{6}\times \frac{1}{c^{4}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$1^{9}\times \frac{1}{6}\left(c^{1}\right)^{9}\times \frac{1}{c^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$1^{9}\times \frac{1}{6}c^{9}c^{4\left(-1\right)}$$

4 ni -1 marotabaga ko'paytirish.

$$1^{9}\times \frac{1}{6}c^{9}c^{-4}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$1^{9}\times \frac{1}{6}c^{9-4}$$

9 va -4 belgilarini qo'shish.

$$1^{9}\times \frac{1}{6}c^{5}$$

6 ni -1 daraja ko'rsatgichiga oshirish.

$$\frac{1}{6}c^{5}$$

c ga nisbatan hosilani topish

$$\frac{5c^{4}}{6}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{6}c^{9-4})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{6}c^{5})$$

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

$$5\times \frac{1}{6}c^{5-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{5}{6}c^{4}$$