48x^2/6x^3 eching

$$\frac { 48 x ^ { 2 } } { 6 x ^ { 3 } }$$

Baholash

$$\frac{8}{x}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(48x^{2}\right)^{1}\times \frac{1}{6x^{3}}$$

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

$$48^{1}\left(x^{2}\right)^{1}\times \frac{1}{6}\times \frac{1}{x^{3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$48^{1}\times \frac{1}{6}\left(x^{2}\right)^{1}\times \frac{1}{x^{3}}$$

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

$$48^{1}\times \frac{1}{6}x^{2}x^{3\left(-1\right)}$$

3 ni -1 marotabaga ko'paytirish.

$$48^{1}\times \frac{1}{6}x^{2}x^{-3}$$

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

$$48^{1}\times \frac{1}{6}x^{2-3}$$

2 va -3 belgilarini qo'shish.

$$48^{1}\times \frac{1}{6}\times \frac{1}{x}$$

48 ni 1 daraja ko'rsatgichiga oshirish.

$$48\times \frac{1}{6}\times \frac{1}{x}$$

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

$$8\times \frac{1}{x}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{48^{1}x^{2}}{6^{1}x^{3}}$$

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

$$\frac{48^{1}x^{2-3}}{6^{1}}$$

2 dan 3 ni ayirish.

$$\frac{48^{1}\times \frac{1}{x}}{6^{1}}$$

48 ni 6 ga bo'lish.

$$8\times \frac{1}{x}$$

x ga nisbatan hosilani topish

$$-\frac{8}{x^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{48}{6}x^{2-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8\times \frac{1}{x})$$

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

$$-8x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$-8x^{-2}$$