Atrisiniet x/frac{3{9}}+x/25/100+frac{x/2}{10}+frac{frac{x}{15}}{90}

$$\frac{ x }{ \frac{ 3 }{ 9 } } + \frac{ \frac{ x }{ 25 } }{ 100 } + \frac{ \frac{ x }{ 2 } }{ 10 } + \frac{ \frac{ x }{ 15 } }{ 90 }$$

Izrēķināt

$$\frac{51488x}{16875}$$

Atrisinājuma darbības

Daliet x ar \frac{3}{9}, reizinot x ar apgriezto daļskaitli \frac{3}{9} .

$$\frac{x\times 9}{3}+\frac{\frac{x}{25}}{100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90}$$

Daliet x\times 9 ar 3, lai iegūtu x\times 3.

$$x\times 3+\frac{\frac{x}{25}}{100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90}$$

Izsakiet \frac{\frac{x}{25}}{100} kā vienu daļskaitli.

$$x\times 3+\frac{x}{25\times 100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90}$$

Reiziniet 25 un 100, lai iegūtu 2500.

$$x\times 3+\frac{x}{2500}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90}$$

Savelciet x\times 3 un \frac{x}{2500}, lai iegūtu \frac{7501}{2500}x.

$$\frac{7501}{2500}x+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90}$$

Izsakiet \frac{\frac{x}{2}}{10} kā vienu daļskaitli.

$$\frac{7501}{2500}x+\frac{x}{2\times 10}+\frac{\frac{x}{15}}{90}$$

Reiziniet 2 un 10, lai iegūtu 20.

$$\frac{7501}{2500}x+\frac{x}{20}+\frac{\frac{x}{15}}{90}$$

Savelciet \frac{7501}{2500}x un \frac{x}{20}, lai iegūtu \frac{3813}{1250}x.

$$\frac{3813}{1250}x+\frac{\frac{x}{15}}{90}$$

Izsakiet \frac{\frac{x}{15}}{90} kā vienu daļskaitli.

$$\frac{3813}{1250}x+\frac{x}{15\times 90}$$

Reiziniet 15 un 90, lai iegūtu 1350.

$$\frac{3813}{1250}x+\frac{x}{1350}$$

Savelciet \frac{3813}{1250}x un \frac{x}{1350}, lai iegūtu \frac{51488}{16875}x.

$$\frac{51488}{16875}x$$

Diferencēt pēc x

$$\frac{51488}{16875} = 3\frac{863}{16875} = 3,051140740740741$$

Darbības, izmantojot atvasinājuma definīciju

Daliet x ar \frac{3}{9}, reizinot x ar apgriezto daļskaitli \frac{3}{9} .

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 9}{3}+\frac{\frac{x}{25}}{100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90})$$

Daliet x\times 9 ar 3, lai iegūtu x\times 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3+\frac{\frac{x}{25}}{100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90})$$

Izsakiet \frac{\frac{x}{25}}{100} kā vienu daļskaitli.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3+\frac{x}{25\times 100}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90})$$

Reiziniet 25 un 100, lai iegūtu 2500.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3+\frac{x}{2500}+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90})$$

Savelciet x\times 3 un \frac{x}{2500}, lai iegūtu \frac{7501}{2500}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7501}{2500}x+\frac{\frac{x}{2}}{10}+\frac{\frac{x}{15}}{90})$$

Izsakiet \frac{\frac{x}{2}}{10} kā vienu daļskaitli.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7501}{2500}x+\frac{x}{2\times 10}+\frac{\frac{x}{15}}{90})$$

Reiziniet 2 un 10, lai iegūtu 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7501}{2500}x+\frac{x}{20}+\frac{\frac{x}{15}}{90})$$

Savelciet \frac{7501}{2500}x un \frac{x}{20}, lai iegūtu \frac{3813}{1250}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3813}{1250}x+\frac{\frac{x}{15}}{90})$$

Izsakiet \frac{\frac{x}{15}}{90} kā vienu daļskaitli.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3813}{1250}x+\frac{x}{15\times 90})$$

Reiziniet 15 un 90, lai iegūtu 1350.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3813}{1250}x+\frac{x}{1350})$$

Savelciet \frac{3813}{1250}x un \frac{x}{1350}, lai iegūtu \frac{51488}{16875}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{51488}{16875}x)$$

ax^{n} atvasinājums ir nax^{n-1}.

$$\frac{51488}{16875}x^{1-1}$$

Atņemiet 1 no 1.

$$\frac{51488}{16875}x^{0}$$

Jebkuram loceklim t, izņemot 0, t^{0}=1.

$$\frac{51488}{16875}\times 1$$

Jebkuram loceklim t t\times 1=t un 1t=t.

$$\frac{51488}{16875}$$