sum*3*7/4*119/25 eching

$$\sum \times 3 \times \frac { 7 } { 4 } \times \frac { 119 } { 25 }$$

Baholash

$$\frac{2499Σ}{100}$$

Yechim qadamlari

3\times \frac{7}{4} ni yagona kasrga aylantiring.

$$Σ\times \frac{3\times 7}{4}\times \frac{119}{25}$$

21 hosil qilish uchun 3 va 7 ni ko'paytirish.

$$Σ\times \frac{21}{4}\times \frac{119}{25}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{21}{4} ni \frac{119}{25} ga ko‘paytiring.

$$Σ\times \frac{21\times 119}{4\times 25}$$

\frac{21\times 119}{4\times 25} kasridagi ko‘paytirishlarni bajaring.

$$Σ\times \frac{2499}{100}$$

Σ ga nisbatan hosilani topish

$$\frac{2499}{100} = 24\frac{99}{100} = 24,99$$

Derivativ ifodasidan foydalanish qadamlari

3\times \frac{7}{4} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}Σ}(Σ\times \frac{3\times 7}{4}\times \frac{119}{25})$$

21 hosil qilish uchun 3 va 7 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}Σ}(Σ\times \frac{21}{4}\times \frac{119}{25})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{21}{4} ni \frac{119}{25} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}Σ}(Σ\times \frac{21\times 119}{4\times 25})$$

\frac{21\times 119}{4\times 25} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}Σ}(Σ\times \frac{2499}{100})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{2499}{100}Σ^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{2499}{100}Σ^{0}$$

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

$$\frac{2499}{100}\times 1$$

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

$$\frac{2499}{100}$$