10x^4^div5x eching

$$10 { x }^{ { 4 }^{ } } \div 5x$$

Baholash

$$2x^{5}$$

Yechim qadamlari

1 daraja ko‘rsatkichini 4 ga hisoblang va 4 ni qiymatni oling.

$$\frac{10x^{4}}{5}x$$

2x^{4} ni olish uchun 10x^{4} ni 5 ga bo‘ling.

$$2x^{4}x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$2x^{5}$$

x ga nisbatan hosilani topish

$$10x^{4}$$

Derivativ ifodasidan foydalanish qadamlari

1 daraja ko‘rsatkichini 4 ga hisoblang va 4 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10x^{4}}{5}x)$$

2x^{4} ni olish uchun 10x^{4} ni 5 ga bo‘ling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 2x^{5-1}$$

5 ni 2 marotabaga ko'paytirish.

$$10x^{5-1}$$

5 dan 1 ni ayirish.

$$10x^{4}$$