Question Number 206882 by efronzo1 last updated on 29/Apr/24 $$\:\:{f}\left({x}\right)=\mathrm{tan}\:^{\mathrm{2}} {x}\:\sqrt{\mathrm{tan}\:{x}\sqrt[{\mathrm{3}}]{\mathrm{tan}\:{x}\sqrt[{\mathrm{4}}]{\mathrm{tan}\:{x}\sqrt[{\mathrm{5}}]{\mathrm{tan}\:{x}\sqrt{…}}}}} \\ $$$$\:{f}\:'\left(\frac{\pi}{\mathrm{4}}\right)=? \\ $$ Answered by MM42 last updated on 29/Apr/24 $${f}\left({x}\right)={tan}^{\mathrm{2}} {x}×{tan}^{\frac{\mathrm{1}}{\mathrm{2}}} {x}×{tan}^{\frac{\mathrm{1}}{\mathrm{6}}}…
Question Number 206340 by mnjuly1970 last updated on 12/Apr/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\:{ln}\left(\mathrm{1}−{x}\:\right){ln}\left(\mathrm{1}+{x}\:\right)}{{x}}{dx}\:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\Omega_{{n}} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:{find}\::\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\:{n}\:\Omega_{{n}} \:=\:? \\ $$…
Question Number 206244 by cortano21 last updated on 10/Apr/24 $$\:\:\:\zeta \\ $$ Answered by A5T last updated on 10/Apr/24 $$\pi{r}_{{a}} ^{\mathrm{3}} =\pi{r}_{{b}} ^{\mathrm{3}} ×\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow\frac{{r}_{{a}} }{{r}_{{b}}…
Question Number 205827 by mustafazaheen last updated on 31/Mar/24 $$\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} =\mathrm{1} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{implceat}\:\mathrm{second}\:\mathrm{derivative} \\ $$ Answered by cortano12 last updated on 31/Mar/24 $$\:\mathrm{3}{x}^{\mathrm{2}} +\:\mathrm{3}{y}^{\mathrm{2}}…
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Question Number 205338 by cortano12 last updated on 17/Mar/24 Answered by mr W last updated on 17/Mar/24 $${x}\geqslant−\mathrm{2},\:{y}\geqslant−\mathrm{3} \\ $$$${x}+\mathrm{2}−\mathrm{4}\sqrt{{x}+\mathrm{2}}+\mathrm{4}+{y}+\mathrm{3}−\mathrm{4}\sqrt{{y}+\mathrm{3}}+\mathrm{4}=\mathrm{13} \\ $$$$\left(\sqrt{{x}+\mathrm{2}}−\mathrm{2}\right)^{\mathrm{2}} +\left(\sqrt{{y}+\mathrm{3}}−\mathrm{2}\right)^{\mathrm{2}} =\left(\sqrt{\mathrm{13}}\right)^{\mathrm{2}} \\…
Question Number 205200 by mathlove last updated on 12/Mar/24 $$\int_{\mathrm{1}} ^{\infty} \:\frac{{x}}{{x}^{\mathrm{3}} +{lnx}}\:{dx}=? \\ $$ Answered by mathzup last updated on 12/Mar/24 $${changement}\:{lnx}={t}\:{give} \\ $$$${I}=\int_{\mathrm{0}}…
Question Number 205024 by cortano12 last updated on 06/Mar/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205013 by mathlove last updated on 05/Mar/24 $${if}\:{y}=\sqrt[{\mathrm{7}}]{{x}}\:{prove}\:{that} \\ $$$${y}^{'} =\frac{\mathrm{1}}{\mathrm{7}\:\sqrt[{\mathrm{7}}]{{x}^{\mathrm{6}} }} \\ $$ Answered by Frix last updated on 05/Mar/24 $${y}={x}^{{r}} \:\Rightarrow\:{y}'={rx}^{{r}−\mathrm{1}}…
Question Number 204909 by mnjuly1970 last updated on 01/Mar/24 $$ \\ $$$$\:\:\:\:\:\:\:\Omega=\:\int_{\frac{\mathrm{1}}{{e}}} ^{\:{e}} \frac{\:{arctan}\left({x}\right)}{{x}}\:{dx}=? \\ $$ Answered by witcher3 last updated on 01/Mar/24 $$\mathrm{x}\rightarrow\frac{\mathrm{1}}{\mathrm{x}} \\…