Issolvi G6.674*10^-1170^27.3510^22/1.73^2

$$G6.674 \times { 10 }^{ -11 } \frac{ { 70 }^{ 2 } 7.35 { 10 }^{ 22 } }{ { 1.73 }^{ 2 } }$$

Evalwa

$$\frac{24274110000000000000G_{6}}{29929}$$

Passi tas-Soluzzjonijiet

Ikkalkula 10 bil-power ta' -11 u tikseb \frac{1}{100000000000}.

$$G_{6}\times 0.674\times \frac{1}{100000000000}\times \frac{70^{2}\times 7.35\times 10^{22}}{1.73^{2}}$$

Immultiplika 0.674 u \frac{1}{100000000000} biex tikseb \frac{337}{50000000000000}.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{70^{2}\times 7.35\times 10^{22}}{1.73^{2}}$$

Ikkalkula 70 bil-power ta' 2 u tikseb 4900.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{4900\times 7.35\times 10^{22}}{1.73^{2}}$$

Immultiplika 4900 u 7.35 biex tikseb 36015.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{36015\times 10^{22}}{1.73^{2}}$$

Ikkalkula 10 bil-power ta' 22 u tikseb 10000000000000000000000.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{36015\times 10000000000000000000000}{1.73^{2}}$$

Immultiplika 36015 u 10000000000000000000000 biex tikseb 360150000000000000000000000.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{360150000000000000000000000}{1.73^{2}}$$

Ikkalkula 1.73 bil-power ta' 2 u tikseb 2.9929.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{360150000000000000000000000}{2.9929}$$

Espandi \frac{360150000000000000000000000}{2.9929} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$G_{6}\times \frac{337}{50000000000000}\times \frac{3601500000000000000000000000000}{29929}$$

Immultiplika \frac{337}{50000000000000} u \frac{3601500000000000000000000000000}{29929} biex tikseb \frac{24274110000000000000}{29929}.

$$G_{6}\times \frac{24274110000000000000}{29929}$$

Iddifferenzja w.r.t. G_6

$$\frac{24274110000000000000}{29929} = 811056500384242\frac{21182}{29929} = 811056500384242.8$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkalkula 10 bil-power ta' -11 u tikseb \frac{1}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times 0.674\times \frac{1}{100000000000}\times \frac{70^{2}\times 7.35\times 10^{22}}{1.73^{2}})$$

Immultiplika 0.674 u \frac{1}{100000000000} biex tikseb \frac{337}{50000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{70^{2}\times 7.35\times 10^{22}}{1.73^{2}})$$

Ikkalkula 70 bil-power ta' 2 u tikseb 4900.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{4900\times 7.35\times 10^{22}}{1.73^{2}})$$

Immultiplika 4900 u 7.35 biex tikseb 36015.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{36015\times 10^{22}}{1.73^{2}})$$

Ikkalkula 10 bil-power ta' 22 u tikseb 10000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{36015\times 10000000000000000000000}{1.73^{2}})$$

Immultiplika 36015 u 10000000000000000000000 biex tikseb 360150000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{360150000000000000000000000}{1.73^{2}})$$

Ikkalkula 1.73 bil-power ta' 2 u tikseb 2.9929.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{360150000000000000000000000}{2.9929})$$

Espandi \frac{360150000000000000000000000}{2.9929} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{337}{50000000000000}\times \frac{3601500000000000000000000000000}{29929})$$

Immultiplika \frac{337}{50000000000000} u \frac{3601500000000000000000000000000}{29929} biex tikseb \frac{24274110000000000000}{29929}.

$$\frac{\mathrm{d}}{\mathrm{d}G_{6}}(G_{6}\times \frac{24274110000000000000}{29929})$$

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

$$\frac{24274110000000000000}{29929}G_{6}^{1-1}$$

Naqqas 1 minn 1.

$$\frac{24274110000000000000}{29929}G_{6}^{0}$$

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

$$\frac{24274110000000000000}{29929}\times 1$$

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

$$\frac{24274110000000000000}{29929}$$