1/2(t^2/4) eching

$$\frac { 1 } { 2 } ( \frac { t ^ { 2 } } { 4 } )$$

Baholash

$$\frac{t^{2}}{8}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{t^{2}}{4} ga ko‘paytiring.

$$\frac{t^{2}}{2\times 4}$$

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

$$\frac{t^{2}}{8}$$

t ga nisbatan hosilani topish

$$\frac{t}{4}$$

Derivativ ifodasidan foydalanish qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{t^{2}}{4} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{t^{2}}{2\times 4})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{t^{2}}{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times \frac{1}{8}t^{2-1}$$

2 ni \frac{1}{8} marotabaga ko'paytirish.

$$\frac{1}{4}t^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{1}{4}t^{1}$$

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

$$\frac{1}{4}t$$