(4/7x^2)div5x^2 eching

$$( \frac{ 4 }{ 7 } { x }^{ 2 } ) \div 5 { x }^{ 2 }$$

Baholash

$$\frac{4x^{4}}{35}$$

Yechim qadamlari

\frac{4}{35}x^{2} ni olish uchun \frac{4}{7}x^{2} ni 5 ga bo‘ling.

$$\frac{4}{35}x^{2}x^{2}$$

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

$$\frac{4}{35}x^{4}$$

x ga nisbatan hosilani topish

$$\frac{16x^{3}}{35}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{4}{35}x^{2} ni olish uchun \frac{4}{7}x^{2} ni 5 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{35}x^{2}x^{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{35}x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times \frac{4}{35}x^{4-1}$$

4 ni \frac{4}{35} marotabaga ko'paytirish.

$$\frac{16}{35}x^{4-1}$$

4 dan 1 ni ayirish.

$$\frac{16}{35}x^{3}$$