4/5xsqrt{4} eching

$$\frac{ 4 }{ 5 } x \sqrt{ 4 }$$

Baholash

$$\frac{8x}{5}$$

Yechim qadamlari

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{4}{5}x\times 2$$

\frac{4}{5}\times 2 ni yagona kasrga aylantiring.

$$\frac{4\times 2}{5}x$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{8}{5}x$$

x ga nisbatan hosilani topish

$$\frac{8}{5} = 1\frac{3}{5} = 1,6$$

Derivativ ifodasidan foydalanish qadamlari

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{5}x\times 2)$$

\frac{4}{5}\times 2 ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 2}{5}x)$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{5}x)$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{8}{5}x^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{8}{5}x^{0}$$

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

$$\frac{8}{5}\times 1$$

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

$$\frac{8}{5}$$