3x^3/6x^2 eching

$$\frac { 3 x ^ { 3 } } { 6 x ^ { 2 } }$$

Baholash

$$\frac{x}{2}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(3x^{3}\right)^{1}\times \frac{1}{6x^{2}}$$

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

$$3^{1}\left(x^{3}\right)^{1}\times \frac{1}{6}\times \frac{1}{x^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$3^{1}\times \frac{1}{6}\left(x^{3}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$3^{1}\times \frac{1}{6}x^{3}x^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$3^{1}\times \frac{1}{6}x^{3}x^{-2}$$

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

$$3^{1}\times \frac{1}{6}x^{3-2}$$

3 va -2 belgilarini qo'shish.

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

3 ni 1 daraja ko'rsatgichiga oshirish.

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

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

$$\frac{1}{2}x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$\frac{1}{2}x$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{3^{1}x^{3}}{6^{1}x^{2}}$$

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

$$\frac{3^{1}x^{3-2}}{6^{1}}$$

3 dan 2 ni ayirish.

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

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$\frac{1}{2}x$$

x ga nisbatan hosilani topish

$$\frac{1}{2} = 0,5$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{6}x^{3-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}x^{1})$$

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

$$\frac{1}{2}x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{1}{2}x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

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

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{1}{2}$$