piu^2/pi+pi eching

$$\frac { \pi u ^ { 2 } } { \pi + \pi }$$

Baholash

$$\frac{u^{2}}{2}$$

Yechim qadamlari

2\pi ni olish uchun \pi va \pi ni birlashtirish.

$$\frac{\pi u^{2}}{2\pi }$$

Surat va maxrajdagi ikkala \pi ni qisqartiring.

$$\frac{u^{2}}{2}$$

u ga nisbatan hosilani topish

$$u$$

Derivativ ifodasidan foydalanish qadamlari

2\pi ni olish uchun \pi va \pi ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{\pi u^{2}}{2\pi })$$

Surat va maxrajdagi ikkala \pi ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{u^{2}}{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times \frac{1}{2}u^{2-1}$$

2 ni \frac{1}{2} marotabaga ko'paytirish.

$$u^{2-1}$$

2 dan 1 ni ayirish.

$$u^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$u$$