Category: Differentiation

Question Number 64287 by aliesam last updated on 16/Jul/19 Commented by mathmax by abdo last updated on 16/Jul/19 $${R}^{'} \left({t}\right)\:=\frac{\mathrm{15}.\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \left(\mathrm{1}+\mathrm{1},\mathrm{5}{e}^{−\mathrm{0},\mathrm{01}{t}} \right)−\mathrm{15}\left(\mathrm{1}−{e}^{−\mathrm{0},\mathrm{01}{t}} \right)\left(−\mathrm{1},\mathrm{5}\right)\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} }{\left(\mathrm{1}+\mathrm{1},\mathrm{5}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \right)^{\mathrm{2}}…

Question Number 129806 by mnjuly1970 last updated on 19/Jan/21 $$\dots nicecalculus\dots$$$$pleaseprovethat::$$$$\mathrm{\Phi }={\int }_0^1\frac{\mathrm{Arctan}\left(x\right)}{1+x}dx=\frac{\pi }{8}log\left(2\right)\dots$$$$$$ Answered by Dwaipayan Shikari last…

Question Number 129758 by I want to learn more last updated on 18/Jan/21 $$\mathrm{Find}\mathrm{the}\mathrm{nth}\mathrm{derivatives}\mathrm{of}{\log }_{\mathrm{e}}{(6\mathrm{x}+8)}^5$$ Commented by Dwaipayan Shikari last updated on 18/Jan/21…

Question Number 64060 by mmkkmm000m last updated on 12/Jul/19 $${(2x+3)}^2+25/{(x+3)}^2=\sqrt{2}$$ Commented by MJS last updated on 12/Jul/19 $$\mathrm{Sir}\mathrm{would}\mathrm{you}\mathrm{mind}\mathrm{using}\mathrm{smaller}\mathrm{font}\mathrm{size}\mathrm{as}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{hard}\mathrm{to}\mathrm{overview}\mathrm{the}\mathrm{forum}\mathrm{like}\mathrm{this}$$ Terms…

Question Number 129490 by 676597498 last updated on 16/Jan/21 $${\int }_0^{\frac{\pi }{2}}\mathrm{x}\sqrt{\mathrm{tanx}}\mathrm{dx}$$ Answered by mnjuly1970 last updated on 16/Jan/21 $$\:\Omega=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.{sin}^{\frac{\mathrm{1}}{\mathrm{2}}} \left({x}\right).{cos}^{\frac{\mathrm{1}}{\mathrm{2}}}…