3/5y2/3= eching

$$3 / 5 y 2 / 3 =$$

Baholash

$$\frac{2y}{5}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{3\times 2}{5\times 3}y$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{2}{5}y$$

y ga nisbatan hosilani topish

$$\frac{2}{5} = 0,4$$

Derivativ ifodasidan foydalanish qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3\times 2}{5\times 3}y)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2}{5}y)$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{2}{5}y^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{2}{5}y^{0}$$

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

$$\frac{2}{5}\times 1$$

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

$$\frac{2}{5}$$