y-1/3y+y eching

$$y - \frac { 1 } { 3 } y + y$$

Baholash

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

Yechim qadamlari

\frac{2}{3}y ni olish uchun y va -\frac{1}{3}y ni birlashtirish.

$$\frac{2}{3}y+y$$

\frac{5}{3}y ni olish uchun \frac{2}{3}y va y ni birlashtirish.

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

y ga nisbatan hosilani topish

$$\frac{5}{3} = 1\frac{2}{3} = 1,6666666666666667$$

Derivativ ifodasidan foydalanish qadamlari

\frac{2}{3}y ni olish uchun y va -\frac{1}{3}y ni birlashtirish.

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

\frac{5}{3}y ni olish uchun \frac{2}{3}y va y ni birlashtirish.

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

ax^{n} hosilasi – nax^{n-1}.

$$\frac{5}{3}y^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{5}{3}y^{0}$$

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

$$\frac{5}{3}\times 1$$

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

$$\frac{5}{3}$$