20x^270x^550x^3 eching

$$20 x ^ { 2 } 70 x ^ { 5 } 50 x ^ { 3 }$$

Baholash

$$70000x^{10}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$20x^{7}\times 70\times 50x^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 3 ni qo‘shib, 10 ni oling.

$$20x^{10}\times 70\times 50$$

1400 hosil qilish uchun 20 va 70 ni ko'paytirish.

$$1400x^{10}\times 50$$

70000 hosil qilish uchun 1400 va 50 ni ko'paytirish.

$$70000x^{10}$$

x ga nisbatan hosilani topish

$$700000x^{9}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x^{7}\times 70\times 50x^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 3 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x^{10}\times 70\times 50)$$

1400 hosil qilish uchun 20 va 70 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1400x^{10}\times 50)$$

70000 hosil qilish uchun 1400 va 50 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(70000x^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\times 70000x^{10-1}$$

10 ni 70000 marotabaga ko'paytirish.

$$700000x^{10-1}$$

10 dan 1 ni ayirish.

$$700000x^{9}$$