{left(sqrt{x^4}right)}^2*{left(sqrt{x^8}right)}^2*{left(sqrt{x^14}right)}^2 eching

$${ \left( \sqrt{ { x }^{ 4 } } \right) }^{ 2 } \times { \left( \sqrt{ { x }^{ 8 } } \right) }^{ 2 } \times { \left( \sqrt{ { x }^{ 14 } } \right) }^{ 2 }$$

Baholash

$$x^{26}$$

Yechim qadamlari

2 daraja ko‘rsatkichini \sqrt{x^{4}} ga hisoblang va x^{4} ni qiymatni oling.

$$x^{4}\left(\sqrt{x^{8}}\right)^{2}\left(\sqrt{x^{14}}\right)^{2}$$

2 daraja ko‘rsatkichini \sqrt{x^{8}} ga hisoblang va x^{8} ni qiymatni oling.

$$x^{4}x^{8}\left(\sqrt{x^{14}}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 8 ni qo‘shib, 12 ni oling.

$$x^{12}\left(\sqrt{x^{14}}\right)^{2}$$

2 daraja ko‘rsatkichini \sqrt{x^{14}} ga hisoblang va x^{14} ni qiymatni oling.

$$x^{12}x^{14}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 14 ni qo‘shib, 26 ni oling.

$$x^{26}$$

x ga nisbatan hosilani topish

$$26x^{25}$$

Derivativ ifodasidan foydalanish qadamlari

2 daraja ko‘rsatkichini \sqrt{x^{4}} ga hisoblang va x^{4} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\left(\sqrt{x^{8}}\right)^{2}\left(\sqrt{x^{14}}\right)^{2})$$

2 daraja ko‘rsatkichini \sqrt{x^{8}} ga hisoblang va x^{8} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}x^{8}\left(\sqrt{x^{14}}\right)^{2})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 8 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{12}\left(\sqrt{x^{14}}\right)^{2})$$

2 daraja ko‘rsatkichini \sqrt{x^{14}} ga hisoblang va x^{14} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{12}x^{14})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 14 ni qo‘shib, 26 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{26})$$

ax^{n} hosilasi – nax^{n-1}.

$$26x^{26-1}$$

26 dan 1 ni ayirish.

$$26x^{25}$$