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

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

मूल्यांकन करचें

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

सोडोवणी पांवडे

\frac{3}{9} च्या पुरकाक x गुणून \frac{3}{9} न x क भाग लावचो.

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

x\times 3 मेळोवंक x\times 9 क 3 न भाग लावचो.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{25}}{100} स्पश्ट करचें.

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

2500 मेळोवंक 25 आनी 100 गुणचें.

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

\frac{7501}{2500}x मेळोवंक x\times 3 आनी \frac{x}{2500} एकठांय करचें.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{2}}{10} स्पश्ट करचें.

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

20 मेळोवंक 2 आनी 10 गुणचें.

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

\frac{3813}{1250}x मेळोवंक \frac{7501}{2500}x आनी \frac{x}{20} एकठांय करचें.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{15}}{90} स्पश्ट करचें.

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

1350 मेळोवंक 15 आनी 90 गुणचें.

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

\frac{51488}{16875}x मेळोवंक \frac{3813}{1250}x आनी \frac{x}{1350} एकठांय करचें.

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

w.r.t. x चो फरक काडचो

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

व्यत्पन्नाची व्याख्या वापरून पांवडे

\frac{3}{9} च्या पुरकाक x गुणून \frac{3}{9} न x क भाग लावचो.

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

x\times 3 मेळोवंक x\times 9 क 3 न भाग लावचो.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{25}}{100} स्पश्ट करचें.

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

2500 मेळोवंक 25 आनी 100 गुणचें.

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

\frac{7501}{2500}x मेळोवंक x\times 3 आनी \frac{x}{2500} एकठांय करचें.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{2}}{10} स्पश्ट करचें.

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

20 मेळोवंक 2 आनी 10 गुणचें.

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

\frac{3813}{1250}x मेळोवंक \frac{7501}{2500}x आनी \frac{x}{20} एकठांय करचें.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{x}{15}}{90} स्पश्ट करचें.

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

1350 मेळोवंक 15 आनी 90 गुणचें.

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

\frac{51488}{16875}x मेळोवंक \frac{3813}{1250}x आनी \frac{x}{1350} एकठांय करचें.

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

ax^{n} चो व्यत्पन्न nax^{n-1} आसा.

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

1 तल्यान 1 वजा करची.

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

0 सोडून t खंयच्याय शब्दा खातीर, t^{0}=1.

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

t खंयच्याय शब्दा खातीर, t\times 1=t आनी 1t=t .

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