2x^2x*25 eching

$$2 { x }^{ 2 } x \times 25$$

Baholash

$$50x^{3}$$

Yechim qadamlari

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

$$2x^{3}\times 25$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$50x^{3}$$

x ga nisbatan hosilani topish

$$150x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3}\times 25)$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 50x^{3-1}$$

3 ni 50 marotabaga ko'paytirish.

$$150x^{3-1}$$

3 dan 1 ni ayirish.

$$150x^{2}$$