8x^2*5x^2 eching

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

Baholash

$$40x^{4}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$8x^{4}\times 5$$

40 hosil qilish uchun 8 va 5 ni ko'paytirish.

$$40x^{4}$$

x ga nisbatan hosilani topish

$$160x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{4}\times 5)$$

40 hosil qilish uchun 8 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 40x^{4-1}$$

4 ni 40 marotabaga ko'paytirish.

$$160x^{4-1}$$

4 dan 1 ni ayirish.

$$160x^{3}$$