6x^-4/2x^-3 eching

$$\frac { 6 x ^ { - 4 } } { 2 x ^ { - 3 } }$$

Baholash

$$\frac{3}{x}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(6x^{-4}\right)^{1}\times \frac{1}{2x^{-3}}$$

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

$$6^{1}\left(x^{-4}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{-3}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$6^{1}\times \frac{1}{2}\left(x^{-4}\right)^{1}\times \frac{1}{x^{-3}}$$

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

$$6^{1}\times \frac{1}{2}x^{-4}x^{-3\left(-1\right)}$$

-3 ni -1 marotabaga ko'paytirish.

$$6^{1}\times \frac{1}{2}x^{-4}x^{3}$$

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

$$6^{1}\times \frac{1}{2}x^{-4+3}$$

-4 va 3 belgilarini qo'shish.

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

6 ni 1 daraja ko'rsatgichiga oshirish.

$$6\times \frac{1}{2}\times \frac{1}{x}$$

6 ni \frac{1}{2} marotabaga ko'paytirish.

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

x ga nisbatan hosilani topish

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

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{2}x^{-4-\left(-3\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3\times \frac{1}{x})$$

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

$$-3x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$-3x^{-2}$$