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

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

Evalwa

$$1000m$$

Passi tas-Soluzzjonijiet

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

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

Immultiplika 89 u 1000 biex tikseb 89000.

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

Ikkalkula 10 bil-power ta' -6 u tikseb \frac{1}{1000000}.

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

Immultiplika 2 u \frac{1}{1000000} biex tikseb \frac{1}{500000}.

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

Immultiplika \frac{89000kg}{m^{3}} b'\frac{1}{500000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla 1000 fin-numeratur u d-denominatur.

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

Esprimi \frac{89gk}{500m^{3}}m^{2} bħala frazzjoni waħda.

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

Annulla m^{2} fin-numeratur u d-denominatur.

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

Iddividi 178kg b'\frac{89gk}{500m} billi timmultiplika 178kg bir-reċiproku ta' \frac{89gk}{500m}.

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

Annulla 89gk fin-numeratur u d-denominatur.

$$2\times 500m$$

Immultiplika 2 u 500 biex tikseb 1000.

$$1000m$$

Iddifferenzja w.r.t. m

$$1000$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

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

Immultiplika 89 u 1000 biex tikseb 89000.

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

Ikkalkula 10 bil-power ta' -6 u tikseb \frac{1}{1000000}.

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

Immultiplika 2 u \frac{1}{1000000} biex tikseb \frac{1}{500000}.

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

Immultiplika \frac{89000kg}{m^{3}} b'\frac{1}{500000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla 1000 fin-numeratur u d-denominatur.

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

Esprimi \frac{89gk}{500m^{3}}m^{2} bħala frazzjoni waħda.

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

Annulla m^{2} fin-numeratur u d-denominatur.

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

Iddividi 178kg b'\frac{89gk}{500m} billi timmultiplika 178kg bir-reċiproku ta' \frac{89gk}{500m}.

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

Annulla 89gk fin-numeratur u d-denominatur.

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

Immultiplika 2 u 500 biex tikseb 1000.

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

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

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

Naqqas 1 minn 1.

$$1000m^{0}$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$1000\times 1$$

Għal kwalunkwe terminu t, t\times 1=t u 1t=t.

$$1000$$