-108x^6/-12x^2 eching

$$\frac{ -108 { x }^{ 6 } }{ -12 { x }^{ 2 } }$$

Baholash

$$9x^{4}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(-108x^{6}\right)^{1}\times \frac{1}{-12x^{2}}$$

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

$$\left(-108\right)^{1}\left(x^{6}\right)^{1}\times \frac{1}{-12}\times \frac{1}{x^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$\left(-108\right)^{1}\times \frac{1}{-12}\left(x^{6}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6}x^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6}x^{-2}$$

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

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6-2}$$

6 va -2 belgilarini qo'shish.

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{4}$$

-108 ni 1 daraja ko'rsatgichiga oshirish.

$$-108\times \frac{1}{-12}x^{4}$$

-12 ni -1 daraja ko'rsatgichiga oshirish.

$$-108\left(-\frac{1}{12}\right)x^{4}$$

-108 ni -\frac{1}{12} marotabaga ko'paytirish.

$$9x^{4}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-108\right)^{1}x^{6}}{\left(-12\right)^{1}x^{2}}$$

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

$$\frac{\left(-108\right)^{1}x^{6-2}}{\left(-12\right)^{1}}$$

6 dan 2 ni ayirish.

$$\frac{\left(-108\right)^{1}x^{4}}{\left(-12\right)^{1}}$$

-108 ni -12 ga bo'lish.

$$9x^{4}$$

x ga nisbatan hosilani topish

$$36x^{3}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{108}{-12}\right)x^{6-2})$$

Arifmetik hisobni amalga oshirish.

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

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

$$4\times 9x^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$36x^{3}$$