5x^2*5x^2 eching

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

Baholash

$$25x^{4}$$

Yechim qadamlari

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

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

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$25x^{4}$$

x ga nisbatan hosilani topish

$$100x^{3}$$

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.

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

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 25x^{4-1}$$

4 ni 25 marotabaga ko'paytirish.

$$100x^{4-1}$$

4 dan 1 ni ayirish.

$$100x^{3}$$