G199*10^30/459*10^10 eching

$$G \frac { 199 \times 10 ^ { 30 } } { 459 \times 10 ^ { 10 } }$$

Baholash

$$\frac{19900000000000000000000G}{459}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 10^{10} ni qisqartiring.

$$G\times \frac{199\times 10^{20}}{459}$$

20 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000000000000 ni qiymatni oling.

$$G\times \frac{199\times 100000000000000000000}{459}$$

19900000000000000000000 hosil qilish uchun 199 va 100000000000000000000 ni ko'paytirish.

$$G\times \frac{19900000000000000000000}{459}$$

G ga nisbatan hosilani topish

$$\frac{19900000000000000000000}{459} = 4,335511982570806 \times 10^{19}\frac{302}{459} = 4,335511982570806 \times 10^{19}$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 10^{10} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 10^{20}}{459})$$

20 daraja ko‘rsatkichini 10 ga hisoblang va 100000000000000000000 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 100000000000000000000}{459})$$

19900000000000000000000 hosil qilish uchun 199 va 100000000000000000000 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{19900000000000000000000}{459})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{19900000000000000000000}{459}G^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{19900000000000000000000}{459}G^{0}$$

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

$$\frac{19900000000000000000000}{459}\times 1$$

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

$$\frac{19900000000000000000000}{459}$$