(b^2)^5/b^4 eching

$$\frac { ( b ^ { 2 } ) ^ { 5 } } { b ^ { 4 } }$$

Baholash

$$b^{6}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(b^{2}\right)^{5}\times \frac{1}{b^{4}}$$

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

$$b^{2\times 5}b^{4\left(-1\right)}$$

2 ni 5 marotabaga ko'paytirish.

$$b^{10}b^{4\left(-1\right)}$$

4 ni -1 marotabaga ko'paytirish.

$$b^{10}b^{-4}$$

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

$$b^{10-4}$$

10 va -4 belgilarini qo'shish.

$$b^{6}$$

b ga nisbatan hosilani topish

$$6b^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b^{10}}{b^{4}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 10 dan 4 ni ayirib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6b^{6-1}$$

6 dan 1 ni ayirish.

$$6b^{5}$$