9x^10/3x^5 eching

$$\frac { 9 x ^ { 10 } } { 3 x ^ { 5 } }$$

Baholash

$$3x^{5}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(9x^{10}\right)^{1}\times \frac{1}{3x^{5}}$$

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

$$9^{1}\left(x^{10}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{5}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$9^{1}\times \frac{1}{3}\left(x^{10}\right)^{1}\times \frac{1}{x^{5}}$$

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

$$9^{1}\times \frac{1}{3}x^{10}x^{5\left(-1\right)}$$

5 ni -1 marotabaga ko'paytirish.

$$9^{1}\times \frac{1}{3}x^{10}x^{-5}$$

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

$$9^{1}\times \frac{1}{3}x^{10-5}$$

10 va -5 belgilarini qo'shish.

$$9^{1}\times \frac{1}{3}x^{5}$$

9 ni 1 daraja ko'rsatgichiga oshirish.

$$9\times \frac{1}{3}x^{5}$$

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

$$3x^{5}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{9^{1}x^{10}}{3^{1}x^{5}}$$

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

$$\frac{9^{1}x^{10-5}}{3^{1}}$$

10 dan 5 ni ayirish.

$$\frac{9^{1}x^{5}}{3^{1}}$$

9 ni 3 ga bo'lish.

$$3x^{5}$$

x ga nisbatan hosilani topish

$$15x^{4}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9}{3}x^{10-5})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{5})$$

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

$$5\times 3x^{5-1}$$

Arifmetik hisobni amalga oshirish.

$$15x^{4}$$