k+1/4k-1/2k eching

$$k + \frac { 1 } { 4 } k - \frac { 1 } { 2 } k$$

Baholash

$$\frac{3k}{4}$$

Yechim qadamlari

\frac{5}{4}k ni olish uchun k va \frac{1}{4}k ni birlashtirish.

$$\frac{5}{4}k-\frac{1}{2}k$$

\frac{3}{4}k ni olish uchun \frac{5}{4}k va -\frac{1}{2}k ni birlashtirish.

$$\frac{3}{4}k$$

k ga nisbatan hosilani topish

$$\frac{3}{4} = 0,75$$

Derivativ ifodasidan foydalanish qadamlari

\frac{5}{4}k ni olish uchun k va \frac{1}{4}k ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{5}{4}k-\frac{1}{2}k)$$

\frac{3}{4}k ni olish uchun \frac{5}{4}k va -\frac{1}{2}k ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{3}{4}k)$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{3}{4}k^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{3}{4}k^{0}$$

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

$$\frac{3}{4}\times 1$$

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

$$\frac{3}{4}$$