3n/4*(2)n/6 eching

$$\frac { 3 n } { 4 } \cdot ( 2 ) \frac { n } { 6 }$$

Baholash

$$\frac{n^{2}}{4}$$

Yechim qadamlari

2 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$\frac{3n}{2}\times \frac{n}{6}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3n}{2} ni \frac{n}{6} ga ko‘paytiring.

$$\frac{3nn}{2\times 6}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{nn}{2\times 2}$$

n^{2} hosil qilish uchun n va n ni ko'paytirish.

$$\frac{n^{2}}{2\times 2}$$

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

$$\frac{n^{2}}{4}$$

n ga nisbatan hosilani topish

$$\frac{n}{2}$$

Derivativ ifodasidan foydalanish qadamlari

2 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3n}{2}\times \frac{n}{6})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3n}{2} ni \frac{n}{6} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3nn}{2\times 6})$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{nn}{2\times 2})$$

n^{2} hosil qilish uchun n va n ni ko'paytirish.

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

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

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

ax^{n} hosilasi – nax^{n-1}.

$$2\times \frac{1}{4}n^{2-1}$$

2 ni \frac{1}{4} marotabaga ko'paytirish.

$$\frac{1}{2}n^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{1}{2}n^{1}$$

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

$$\frac{1}{2}n$$