x^6(x^-3/x^-10) eching

$$x ^ { 6 } ( x ^ { - 3 } / x ^ { - 10 } )$$

Baholash

$$x^{13}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. -3 dan -10 ni ayirib, 7 ni oling.

$$x^{6}x^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 7 ni qo‘shib, 13 ni oling.

$$x^{13}$$

x ga nisbatan hosilani topish

$$13x^{12}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. -3 dan -10 ni ayirib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}x^{7})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 7 ni qo‘shib, 13 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{13})$$

ax^{n} hosilasi – nax^{n-1}.

$$13x^{13-1}$$

13 dan 1 ni ayirish.

$$13x^{12}$$