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वॅब सोदांतल्यान समान समस्या

वांटचें

\frac{x^{4}x^{3}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 4 मेळोवंक 3 आनी 1 जोडचो.
\frac{x^{7}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 7 मेळोवंक 4 आनी 3 जोडचो.
\frac{x^{7}}{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}
x^{2} मेळोवंक x आनी x गुणचें.
\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}{x^{2}xx^{3}}
x^{2} मेळोवंक x आनी x गुणचें.
\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{2}xx^{3}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{3}x^{3}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 6 मेळोवंक 3 आनी 3 जोडचो.
\frac{x^{4}}{\frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
\frac{x^{4}}{\frac{1}{4}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}
\frac{1}{4} मेळोवंक \frac{1}{2} आनी \frac{1}{2} गुणचें.
x^{4}\times 4\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}
\frac{1}{4} च्या पुरकाक x^{4} गुणून \frac{1}{4} न x^{4} क भाग लावचो.
x^{4}\times 4\times \frac{\frac{1}{2}\times \frac{1}{2}}{x^{3}}
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
x^{4}\times 4\times \frac{\frac{1}{4}}{x^{3}}
\frac{1}{4} मेळोवंक \frac{1}{2} आनी \frac{1}{2} गुणचें.
x^{4}\times 4\times \frac{1}{4x^{3}}
एकोडो अपूर्णांक म्हूण \frac{\frac{1}{4}}{x^{3}} स्पश्ट करचें.
\frac{x^{4}}{4x^{3}}\times 4
एकोडो अपूर्णांक म्हूण x^{4}\times \frac{1}{4x^{3}} स्पश्ट करचें.
\frac{x}{4}\times 4
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
x
4 आनी 4 रद्द करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}x^{3}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 4 मेळोवंक 3 आनी 1 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 7 मेळोवंक 4 आनी 3 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})
x^{2} मेळोवंक x आनी x गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}{x^{2}xx^{3}})
x^{2} मेळोवंक x आनी x गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{2}xx^{3}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{3}x^{3}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 2 आनी 1 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 6 मेळोवंक 3 आनी 3 जोडचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{\frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{\frac{1}{4}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})
\frac{1}{4} मेळोवंक \frac{1}{2} आनी \frac{1}{2} गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})
\frac{1}{4} च्या पुरकाक x^{4} गुणून \frac{1}{4} न x^{4} क भाग लावचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{\frac{1}{2}\times \frac{1}{2}}{x^{3}})
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{\frac{1}{4}}{x^{3}})
\frac{1}{4} मेळोवंक \frac{1}{2} आनी \frac{1}{2} गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{1}{4x^{3}})
एकोडो अपूर्णांक म्हूण \frac{\frac{1}{4}}{x^{3}} स्पश्ट करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{4x^{3}}\times 4)
एकोडो अपूर्णांक म्हूण x^{4}\times \frac{1}{4x^{3}} स्पश्ट करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4}\times 4)
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x^{3} रद्द करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x)
4 आनी 4 रद्द करचें.
x^{1-1}
ax^{n} चो व्यत्पन्न nax^{n-1} आसा.
x^{0}
1 तल्यान 1 वजा करची.
1
0 सोडून t खंयच्याय शब्दा खातीर, t^{0}=1.