x^8*x^8/x^2 eching

$$\frac { x ^ { 8 } \cdot x ^ { 8 } } { x ^ { 2 } }$$

Baholash

$$x^{14}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 8 ni qo‘shib, 16 ni oling.

$$\frac{x^{16}}{x^{2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 16 dan 2 ni ayirib, 14 ni oling.

$$x^{14}$$

x ga nisbatan hosilani topish

$$14x^{13}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 8 ni qo‘shib, 16 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{16}}{x^{2}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 16 dan 2 ni ayirib, 14 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{14})$$

ax^{n} hosilasi – nax^{n-1}.

$$14x^{14-1}$$

14 dan 1 ni ayirish.

$$14x^{13}$$