2(2/5*y)(1/25y) eching

$$2 ( \frac { 2 } { 5 } \times y ) ( \frac { 1 } { 25 } y )$$

Baholash

$$\frac{4y^{2}}{125}$$

Yechim qadamlari

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

$$2\times \frac{2}{5}y^{2}\times \frac{1}{25}$$

2\times \frac{2}{5} ni yagona kasrga aylantiring.

$$\frac{2\times 2}{5}y^{2}\times \frac{1}{25}$$

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

$$\frac{4}{5}y^{2}\times \frac{1}{25}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{1}{25} ga ko‘paytiring.

$$\frac{4\times 1}{5\times 25}y^{2}$$

\frac{4\times 1}{5\times 25} kasridagi ko‘paytirishlarni bajaring.

$$\frac{4}{125}y^{2}$$

y ga nisbatan hosilani topish

$$\frac{8y}{125}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(2\times \frac{2}{5}y^{2}\times \frac{1}{25})$$

2\times \frac{2}{5} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2\times 2}{5}y^{2}\times \frac{1}{25})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4}{5}y^{2}\times \frac{1}{25})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{1}{25} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4\times 1}{5\times 25}y^{2})$$

\frac{4\times 1}{5\times 25} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4}{125}y^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times \frac{4}{125}y^{2-1}$$

2 ni \frac{4}{125} marotabaga ko'paytirish.

$$\frac{8}{125}y^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{8}{125}y^{1}$$

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

$$\frac{8}{125}y$$