f^10*f^4/f^5 eching

$$\frac { f ^ { 10 } \times f ^ { 4 } } { f ^ { 5 } }$$

Baholash

$$f^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 4 ni qo‘shib, 14 ni oling.

$$\frac{f^{14}}{f^{5}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 14 dan 5 ni ayirib, 9 ni oling.

$$f^{9}$$

f ga nisbatan hosilani topish

$$9f^{8}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 4 ni qo‘shib, 14 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{f^{14}}{f^{5}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 14 dan 5 ni ayirib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f^{9})$$

ax^{n} hosilasi – nax^{n-1}.

$$9f^{9-1}$$

9 dan 1 ni ayirish.

$$9f^{8}$$