सोडोवचें 10^-63^-7625*x^-4div5^-3*{6}^-5*{x}^-8

$${ 10 }^{ -6 } { 3 }^{ -7 } 625 \times { x }^{ -4 } \div { 5 }^{ -3 } \times { 6 }^{ -5 } \times { x }^{ -8 }$$

मूल्यांकन करचें

$$\frac{5}{1088391168x^{12}}$$

सोडोवणी पांवडे

\frac{1}{1000000} मेळोवंक -6 चो 10 पॉवर मेजचो.

$$\frac{\frac{1}{1000000}\times 3^{-7}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

\frac{1}{2187} मेळोवंक -7 चो 3 पॉवर मेजचो.

$$\frac{\frac{1}{1000000}\times \frac{1}{2187}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

\frac{1}{2187000000} मेळोवंक \frac{1}{1000000} आनी \frac{1}{2187} गुणचें.

$$\frac{\frac{1}{2187000000}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

\frac{1}{3499200} मेळोवंक \frac{1}{2187000000} आनी 625 गुणचें.

$$\frac{\frac{1}{3499200}x^{-4}}{5^{-3}}\times 6^{-5}x^{-8}$$

\frac{1}{125} मेळोवंक -3 चो 5 पॉवर मेजचो.

$$\frac{\frac{1}{3499200}x^{-4}}{\frac{1}{125}}\times 6^{-5}x^{-8}$$

\frac{1}{125} च्या पुरकाक \frac{1}{3499200}x^{-4} गुणून \frac{1}{125} न \frac{1}{3499200}x^{-4} क भाग लावचो.

$$\frac{1}{3499200}x^{-4}\times 125\times 6^{-5}x^{-8}$$

\frac{5}{139968} मेळोवंक \frac{1}{3499200} आनी 125 गुणचें.

$$\frac{5}{139968}x^{-4}\times 6^{-5}x^{-8}$$

\frac{1}{7776} मेळोवंक -5 चो 6 पॉवर मेजचो.

$$\frac{5}{139968}x^{-4}\times \frac{1}{7776}x^{-8}$$

\frac{5}{1088391168} मेळोवंक \frac{5}{139968} आनी \frac{1}{7776} गुणचें.

$$\frac{5}{1088391168}x^{-4}x^{-8}$$

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. -12 मेळोवंक -4 आनी -8 जोडचो.

$$\frac{5}{1088391168}x^{-12}$$

w.r.t. x चो फरक काडचो

$$-\frac{5}{90699264x^{13}}$$

व्यत्पन्नाची व्याख्या वापरून पांवडे

\frac{1}{1000000} मेळोवंक -6 चो 10 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{1000000}\times 3^{-7}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

\frac{1}{2187} मेळोवंक -7 चो 3 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{1000000}\times \frac{1}{2187}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

\frac{1}{2187000000} मेळोवंक \frac{1}{1000000} आनी \frac{1}{2187} गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{2187000000}\times 625x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

\frac{1}{3499200} मेळोवंक \frac{1}{2187000000} आनी 625 गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{3499200}x^{-4}}{5^{-3}}\times 6^{-5}x^{-8})$$

\frac{1}{125} मेळोवंक -3 चो 5 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1}{3499200}x^{-4}}{\frac{1}{125}}\times 6^{-5}x^{-8})$$

\frac{1}{125} च्या पुरकाक \frac{1}{3499200}x^{-4} गुणून \frac{1}{125} न \frac{1}{3499200}x^{-4} क भाग लावचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3499200}x^{-4}\times 125\times 6^{-5}x^{-8})$$

\frac{5}{139968} मेळोवंक \frac{1}{3499200} आनी 125 गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{139968}x^{-4}\times 6^{-5}x^{-8})$$

\frac{1}{7776} मेळोवंक -5 चो 6 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{139968}x^{-4}\times \frac{1}{7776}x^{-8})$$

\frac{5}{1088391168} मेळोवंक \frac{5}{139968} आनी \frac{1}{7776} गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{1088391168}x^{-4}x^{-8})$$

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. -12 मेळोवंक -4 आनी -8 जोडचो.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{1088391168}x^{-12})$$

ax^{n} चो व्यत्पन्न nax^{n-1} आसा.

$$-12\times \frac{5}{1088391168}x^{-12-1}$$

\frac{5}{1088391168}क -12 फावटी गुणचें.

$$-\frac{5}{90699264}x^{-12-1}$$

-12 तल्यान 1 वजा करची.

$$-\frac{5}{90699264}x^{-13}$$