36w^4/63w^6 eching

$$\frac { 36 w ^ { 4 } } { 63 w ^ { 6 } }$$

Baholash

$$\frac{4}{7w^{2}}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(36w^{4}\right)^{1}\times \frac{1}{63w^{6}}$$

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

$$36^{1}\left(w^{4}\right)^{1}\times \frac{1}{63}\times \frac{1}{w^{6}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$36^{1}\times \frac{1}{63}\left(w^{4}\right)^{1}\times \frac{1}{w^{6}}$$

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

$$36^{1}\times \frac{1}{63}w^{4}w^{6\left(-1\right)}$$

6 ni -1 marotabaga ko'paytirish.

$$36^{1}\times \frac{1}{63}w^{4}w^{-6}$$

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

$$36^{1}\times \frac{1}{63}w^{4-6}$$

4 va -6 belgilarini qo'shish.

$$36^{1}\times \frac{1}{63}w^{-2}$$

36 ni 1 daraja ko'rsatgichiga oshirish.

$$36\times \frac{1}{63}w^{-2}$$

36 ni \frac{1}{63} marotabaga ko'paytirish.

$$\frac{4}{7}w^{-2}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{36^{1}w^{4}}{63^{1}w^{6}}$$

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

$$\frac{36^{1}w^{4-6}}{63^{1}}$$

4 dan 6 ni ayirish.

$$\frac{36^{1}w^{-2}}{63^{1}}$$

\frac{36}{63} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{7}w^{-2}$$

w ga nisbatan hosilani topish

$$-\frac{8}{7w^{3}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{36}{63}w^{4-6})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{4}{7}w^{-2})$$

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

$$-2\times \frac{4}{7}w^{-2-1}$$

Arifmetik hisobni amalga oshirish.

$$-\frac{8}{7}w^{-3}$$