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

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

Arvuta

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

Lahenduse etapid

Jagage x väärtusega \frac{3}{9}, korrutades x väärtuse \frac{3}{9} pöördväärtusega.

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

Jagage x\times 9 väärtusega 3, et leida x\times 3.

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

Avaldage \frac{\frac{x}{25}}{100} ühe murdarvuna.

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

Korrutage 25 ja 100, et leida 2500.

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

Kombineerige x\times 3 ja \frac{x}{2500}, et leida \frac{7501}{2500}x.

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

Avaldage \frac{\frac{x}{2}}{10} ühe murdarvuna.

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

Korrutage 2 ja 10, et leida 20.

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

Kombineerige \frac{7501}{2500}x ja \frac{x}{20}, et leida \frac{3813}{1250}x.

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

Avaldage \frac{\frac{x}{15}}{90} ühe murdarvuna.

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

Korrutage 15 ja 90, et leida 1350.

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

Kombineerige \frac{3813}{1250}x ja \frac{x}{1350}, et leida \frac{51488}{16875}x.

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

Diferentseeri x-i järgi

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

Juhised tuletise definitsiooni kasutamisel

Jagage x väärtusega \frac{3}{9}, korrutades x väärtuse \frac{3}{9} pöördväärtusega.

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

Jagage x\times 9 väärtusega 3, et leida x\times 3.

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

Avaldage \frac{\frac{x}{25}}{100} ühe murdarvuna.

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

Korrutage 25 ja 100, et leida 2500.

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

Kombineerige x\times 3 ja \frac{x}{2500}, et leida \frac{7501}{2500}x.

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

Avaldage \frac{\frac{x}{2}}{10} ühe murdarvuna.

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

Korrutage 2 ja 10, et leida 20.

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

Kombineerige \frac{7501}{2500}x ja \frac{x}{20}, et leida \frac{3813}{1250}x.

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

Avaldage \frac{\frac{x}{15}}{90} ühe murdarvuna.

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

Korrutage 15 ja 90, et leida 1350.

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

Kombineerige \frac{3813}{1250}x ja \frac{x}{1350}, et leida \frac{51488}{16875}x.

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

ax^{n} tuletis on nax^{n-1}.

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

Lahutage 1 väärtusest 1.

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

Iga Termini t peale 0, t^{0}=1.

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

t t\times 1=t ja 1t=t.

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