=sqrt{480*240*160*80}m eching

$$= \sqrt { 480 \times 240 \times 160 \times 80 } m$$

Baholash

$$38400m$$

Yechim qadamlari

115200 hosil qilish uchun 480 va 240 ni ko'paytirish.

$$\sqrt{115200\times 160\times 80}m$$

18432000 hosil qilish uchun 115200 va 160 ni ko'paytirish.

$$\sqrt{18432000\times 80}m$$

1474560000 hosil qilish uchun 18432000 va 80 ni ko'paytirish.

$$\sqrt{1474560000}m$$

1474560000 ning kvadrat ildizini hisoblab, 38400 natijaga ega bo‘ling.

$$38400m$$

m ga nisbatan hosilani topish

$$38400$$

Derivativ ifodasidan foydalanish qadamlari

115200 hosil qilish uchun 480 va 240 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\sqrt{115200\times 160\times 80}m)$$

18432000 hosil qilish uchun 115200 va 160 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\sqrt{18432000\times 80}m)$$

1474560000 hosil qilish uchun 18432000 va 80 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\sqrt{1474560000}m)$$

1474560000 ning kvadrat ildizini hisoblab, 38400 natijaga ega bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}m}(38400m)$$

ax^{n} hosilasi – nax^{n-1}.

$$38400m^{1-1}$$

1 dan 1 ni ayirish.

$$38400m^{0}$$

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

$$38400\times 1$$

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

$$38400$$