2x^-6(x^-3/x^-10) eching

$$2 x ^ { - 6 } ( x ^ { - 3 } / x ^ { - 10 } )$$

Baholash

$$2x$$

Yechim qadamlari

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

$$2x^{-6}x^{7}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 7 ni qo‘shib, 1 ni oling.

$$2x^{1}$$

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

$$2x$$

x ga nisbatan hosilani topish

$$2$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{-6}x^{7})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 7 ni qo‘shib, 1 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})$$

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

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

ax^{n} hosilasi – nax^{n-1}.

$$2x^{1-1}$$

1 dan 1 ni ayirish.

$$2x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$2\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$2$$