30x^340x^650x^7 eching

$$30 x ^ { 3 } 40 x ^ { 6 } 50 x ^ { 7 }$$

Baholash

$$60000x^{16}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$30x^{9}\times 40\times 50x^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 7 ni qo‘shib, 16 ni oling.

$$30x^{16}\times 40\times 50$$

1200 hosil qilish uchun 30 va 40 ni ko'paytirish.

$$1200x^{16}\times 50$$

60000 hosil qilish uchun 1200 va 50 ni ko'paytirish.

$$60000x^{16}$$

x ga nisbatan hosilani topish

$$960000x^{15}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{9}\times 40\times 50x^{7})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 7 ni qo‘shib, 16 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{16}\times 40\times 50)$$

1200 hosil qilish uchun 30 va 40 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1200x^{16}\times 50)$$

60000 hosil qilish uchun 1200 va 50 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(60000x^{16})$$

ax^{n} hosilasi – nax^{n-1}.

$$16\times 60000x^{16-1}$$

16 ni 60000 marotabaga ko'paytirish.

$$960000x^{16-1}$$

16 dan 1 ni ayirish.

$$960000x^{15}$$