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f-x-1-f-x-1-f-x-

Question Number 2071 by Rasheed Soomro last updated on 01/Nov/15 $$\left\{\:\left[{f}\left({x}\right)\right]^{−\mathrm{1}} \right\}'\:=\left[\:{f}\:'\left({x}\right)\:\right]^{−\mathrm{1}} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Yozzi last updated on 01/Nov/15 $$\frac{{d}}{{dx}}\left(\frac{\mathrm{1}}{{f}\left({x}\right)}\right)=\frac{\mathrm{1}}{{f}^{'} \left({x}\right)}…

If-sin-23pi-24-2-p-q-1-4-r-then-the-value-of-p-2-q-2-r-2-is-equal-to-

Question Number 133142 by bemath last updated on 19/Feb/21 $$\mathrm{If}\:\mathrm{sin}\:\left(\frac{\mathrm{23}\pi}{\mathrm{24}}\right)\:=\:\sqrt{\frac{\mathrm{2}\sqrt{\mathrm{p}}−\sqrt{\mathrm{q}}−\mathrm{1}}{\mathrm{4}\sqrt{\mathrm{r}}}} \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{p}^{\mathrm{2}} +\mathrm{q}^{\mathrm{2}} −\mathrm{r}^{\mathrm{2}} \right)\:\mathrm{is} \\ $$$$\mathrm{equal}\:\mathrm{to}\: \\ $$ Answered by Ñï= last updated on…

Find-all-real-solutions-y-to-the-equation-sin-dy-dx-sin-d-2-y-dx-2-0-For-each-solution-determine-the-value-of-Q-max-r-1-n-sin-d-r-y-dx-r-giving-the-value-s-of-x-for-which-Q-ar

Question Number 2054 by Yozzi last updated on 01/Nov/15 $${Find}\:{all}\:{real}\:{solutions}\:{y}\:{to}\:{the}\:{equation} \\ $$$$\:\:\:\:{sin}\left(\frac{{dy}}{{dx}}\right)+{sin}\left(\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\right)=\mathrm{0}\:. \\ $$$${For}\:{each}\:{solution}\:{determine}\:{the}\:{value}\:{of} \\ $$$${Q}={max}\left(\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{sin}\left(\frac{{d}^{{r}} {y}}{{dx}^{{r}} }\right)\right),\:{giving}\:{the}\:{value}\left({s}\right) \\ $$$${of}\:{x}\:{for}\:{which}\:{Q}\:{arises}. \\…