2q^8/q^9 eching

$$\frac { 2 q ^ { 8 } } { q ^ { 9 } }$$

Baholash

$$\frac{2}{q}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(2q^{8}\right)^{1}\times \frac{1}{q^{9}}$$

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

$$2^{1}\left(q^{8}\right)^{1}\times \frac{1}{1}\times \frac{1}{q^{9}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$2^{1}\times \frac{1}{1}\left(q^{8}\right)^{1}\times \frac{1}{q^{9}}$$

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

$$2^{1}\times \frac{1}{1}q^{8}q^{9\left(-1\right)}$$

9 ni -1 marotabaga ko'paytirish.

$$2^{1}\times \frac{1}{1}q^{8}q^{-9}$$

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

$$2^{1}\times \frac{1}{1}q^{8-9}$$

8 va -9 belgilarini qo'shish.

$$2^{1}\times \frac{1}{1}\times \frac{1}{q}$$

2 ni 1 daraja ko'rsatgichiga oshirish.

$$2\times \frac{1}{1}\times \frac{1}{q}$$

q ga nisbatan hosilani topish

$$-\frac{2}{q^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{2}{1}q^{8-9})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}q}(2\times \frac{1}{q})$$

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

$$-2q^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$-2q^{-2}$$