2b*2b*2b*2b*2b eching

$$2 b \cdot 2 b \cdot 2 b \cdot 2 b \cdot 2 b$$

Baholash

$$32b^{5}$$

Yechim qadamlari

b^{2} hosil qilish uchun b va b ni ko'paytirish.

$$2b^{2}\times 2\times 2b\times 2b\times 2b$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$2b^{3}\times 2\times 2\times 2b\times 2b$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

$$2b^{4}\times 2\times 2\times 2\times 2b$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$2b^{5}\times 2\times 2\times 2\times 2$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$4b^{5}\times 2\times 2\times 2$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$8b^{5}\times 2\times 2$$

16 hosil qilish uchun 8 va 2 ni ko'paytirish.

$$16b^{5}\times 2$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$32b^{5}$$

b ga nisbatan hosilani topish

$$160b^{4}$$

Derivativ ifodasidan foydalanish qadamlari

b^{2} hosil qilish uchun b va b ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{2}\times 2\times 2b\times 2b\times 2b)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{3}\times 2\times 2\times 2b\times 2b)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{4}\times 2\times 2\times 2\times 2b)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{5}\times 2\times 2\times 2\times 2)$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

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

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8b^{5}\times 2\times 2)$$

16 hosil qilish uchun 8 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(16b^{5}\times 2)$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(32b^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 32b^{5-1}$$

5 ni 32 marotabaga ko'paytirish.

$$160b^{5-1}$$

5 dan 1 ni ayirish.

$$160b^{4}$$