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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Iddividi x b'\frac{3}{9} billi timmultiplika x bir-reċiproku ta' \frac{3}{9}.

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

Iddividi x\times 9 b'3 biex tiksebx\times 3.

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

Esprimi \frac{\frac{x}{25}}{100} bħala frazzjoni waħda.

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

Immultiplika 25 u 100 biex tikseb 2500.

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

Ikkombina x\times 3 u \frac{x}{2500} biex tikseb \frac{7501}{2500}x.

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

Esprimi \frac{\frac{x}{2}}{10} bħala frazzjoni waħda.

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

Immultiplika 2 u 10 biex tikseb 20.

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

Ikkombina \frac{7501}{2500}x u \frac{x}{20} biex tikseb \frac{3813}{1250}x.

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

Esprimi \frac{\frac{x}{15}}{90} bħala frazzjoni waħda.

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

Immultiplika 15 u 90 biex tikseb 1350.

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

Ikkombina \frac{3813}{1250}x u \frac{x}{1350} biex tikseb \frac{51488}{16875}x.

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

Iddifferenzja w.r.t. x

$$\frac{51488}{16875} = 3\frac{863}{16875} = 3.051140740740741$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Iddividi x b'\frac{3}{9} billi timmultiplika x bir-reċiproku ta' \frac{3}{9}.

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

Iddividi x\times 9 b'3 biex tiksebx\times 3.

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

Esprimi \frac{\frac{x}{25}}{100} bħala frazzjoni waħda.

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

Immultiplika 25 u 100 biex tikseb 2500.

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

Ikkombina x\times 3 u \frac{x}{2500} biex tikseb \frac{7501}{2500}x.

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

Esprimi \frac{\frac{x}{2}}{10} bħala frazzjoni waħda.

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

Immultiplika 2 u 10 biex tikseb 20.

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

Ikkombina \frac{7501}{2500}x u \frac{x}{20} biex tikseb \frac{3813}{1250}x.

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

Esprimi \frac{\frac{x}{15}}{90} bħala frazzjoni waħda.

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

Immultiplika 15 u 90 biex tikseb 1350.

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

Ikkombina \frac{3813}{1250}x u \frac{x}{1350} biex tikseb \frac{51488}{16875}x.

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

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

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

Naqqas 1 minn 1.

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

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

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

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

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