12x/3x^2 eching

$$\frac{ 12x }{ 3 { x }^{ 2 } }$$

Baholash

$$\frac{4}{x}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(12x^{1}\right)^{1}\times \frac{1}{3x^{2}}$$

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

$$12^{1}\left(x^{1}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$12^{1}\times \frac{1}{3}\left(x^{1}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$12^{1}\times \frac{1}{3}x^{1}x^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$12^{1}\times \frac{1}{3}x^{1}x^{-2}$$

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

$$12^{1}\times \frac{1}{3}x^{1-2}$$

1 va -2 belgilarini qo'shish.

$$12^{1}\times \frac{1}{3}\times \frac{1}{x}$$

12 ni 1 daraja ko'rsatgichiga oshirish.

$$12\times \frac{1}{3}\times \frac{1}{x}$$

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

$$4\times \frac{1}{x}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{12^{1}x^{1}}{3^{1}x^{2}}$$

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

$$\frac{12^{1}x^{1-2}}{3^{1}}$$

1 dan 2 ni ayirish.

$$\frac{12^{1}\times \frac{1}{x}}{3^{1}}$$

12 ni 3 ga bo'lish.

$$4\times \frac{1}{x}$$

x ga nisbatan hosilani topish

$$-\frac{4}{x^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{3}x^{1-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{1}{x})$$

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

$$-4x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$-4x^{-2}$$