6x^7/3x^4 eching

$$\frac { 6 x ^ { 7 } } { 3 x ^ { 4 } }$$

Baholash

$$2x^{3}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(6x^{7}\right)^{1}\times \frac{1}{3x^{4}}$$

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

$$6^{1}\left(x^{7}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{4}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$6^{1}\times \frac{1}{3}\left(x^{7}\right)^{1}\times \frac{1}{x^{4}}$$

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

$$6^{1}\times \frac{1}{3}x^{7}x^{4\left(-1\right)}$$

4 ni -1 marotabaga ko'paytirish.

$$6^{1}\times \frac{1}{3}x^{7}x^{-4}$$

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

$$6^{1}\times \frac{1}{3}x^{7-4}$$

7 va -4 belgilarini qo'shish.

$$6^{1}\times \frac{1}{3}x^{3}$$

6 ni 1 daraja ko'rsatgichiga oshirish.

$$6\times \frac{1}{3}x^{3}$$

6 ni \frac{1}{3} marotabaga ko'paytirish.

$$2x^{3}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{6^{1}x^{7}}{3^{1}x^{4}}$$

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

$$\frac{6^{1}x^{7-4}}{3^{1}}$$

7 dan 4 ni ayirish.

$$\frac{6^{1}x^{3}}{3^{1}}$$

6 ni 3 ga bo'lish.

$$2x^{3}$$

x ga nisbatan hosilani topish

$$6x^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{3}x^{7-4})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3})$$

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

$$3\times 2x^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$6x^{2}$$