178kg/89*10^3kg/m^3*2*10^-6m^2 eching

$$\frac { 178 kg } { 89 \times 10 ^ { 3 } kg / m ^ { 3 } \times 2 \times 10 ^ { - 6 } m ^ { 2 } }$$

Baholash

$$1000m$$

Yechim qadamlari

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$\frac{178kg}{\frac{89\times 1000kg}{m^{3}}\times 2\times 10^{-6}m^{2}}$$

89000 hosil qilish uchun 89 va 1000 ni ko'paytirish.

$$\frac{178kg}{\frac{89000kg}{m^{3}}\times 2\times 10^{-6}m^{2}}$$

-6 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000} ni qiymatni oling.

$$\frac{178kg}{\frac{89000kg}{m^{3}}\times 2\times \frac{1}{1000000}m^{2}}$$

\frac{1}{500000} hosil qilish uchun 2 va \frac{1}{1000000} ni ko'paytirish.

$$\frac{178kg}{\frac{89000kg}{m^{3}}\times \frac{1}{500000}m^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{89000kg}{m^{3}} ni \frac{1}{500000} ga ko‘paytiring.

$$\frac{178kg}{\frac{89000kg}{m^{3}\times 500000}m^{2}}$$

Surat va maxrajdagi ikkala 1000 ni qisqartiring.

$$\frac{178kg}{\frac{89gk}{500m^{3}}m^{2}}$$

\frac{89gk}{500m^{3}}m^{2} ni yagona kasrga aylantiring.

$$\frac{178kg}{\frac{89gkm^{2}}{500m^{3}}}$$

Surat va maxrajdagi ikkala m^{2} ni qisqartiring.

$$\frac{178kg}{\frac{89gk}{500m}}$$

178kg ni \frac{89gk}{500m} ga bo'lish 178kg ga k'paytirish \frac{89gk}{500m} ga qaytarish.

$$\frac{178kg\times 500m}{89gk}$$

Surat va maxrajdagi ikkala 89gk ni qisqartiring.

$$2\times 500m$$

1000 hosil qilish uchun 2 va 500 ni ko'paytirish.

$$1000m$$

m ga nisbatan hosilani topish

$$1000$$

Derivativ ifodasidan foydalanish qadamlari

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89\times 1000kg}{m^{3}}\times 2\times 10^{-6}m^{2}})$$

89000 hosil qilish uchun 89 va 1000 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89000kg}{m^{3}}\times 2\times 10^{-6}m^{2}})$$

-6 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89000kg}{m^{3}}\times 2\times \frac{1}{1000000}m^{2}})$$

\frac{1}{500000} hosil qilish uchun 2 va \frac{1}{1000000} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89000kg}{m^{3}}\times \frac{1}{500000}m^{2}})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{89000kg}{m^{3}} ni \frac{1}{500000} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89000kg}{m^{3}\times 500000}m^{2}})$$

Surat va maxrajdagi ikkala 1000 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89gk}{500m^{3}}m^{2}})$$

\frac{89gk}{500m^{3}}m^{2} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89gkm^{2}}{500m^{3}}})$$

Surat va maxrajdagi ikkala m^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg}{\frac{89gk}{500m}})$$

178kg ni \frac{89gk}{500m} ga bo'lish 178kg ga k'paytirish \frac{89gk}{500m} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{178kg\times 500m}{89gk})$$

Surat va maxrajdagi ikkala 89gk ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2\times 500m)$$

1000 hosil qilish uchun 2 va 500 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(1000m)$$

ax^{n} hosilasi – nax^{n-1}.

$$1000m^{1-1}$$

1 dan 1 ni ayirish.

$$1000m^{0}$$

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

$$1000\times 1$$

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

$$1000$$