Question Number 5587 by sanusihammed last updated on 21/May/16 $${Please}\:{i}\:{need}\:{your}\:{help}. \\ $$$$ \\ $$$${if}\:\:\:{y}\:\:=\:\:\left[{tanx}\right]^{\left[{tanx}\right]^{\left[{tanx}\right]} } \:\:\:.\:\:\:{find}\:\:{dy}/{dx}\:\:{at}\:\:\Pi/\mathrm{4} \\ $$ Commented by prakash jain last updated on…
Question Number 136656 by 0731619177 last updated on 24/Mar/21 Answered by Ñï= last updated on 24/Mar/21 $${y}={x}^{{x}^{{x}^{…} } } ={x}^{{y}} \\ $$$${y}'=\left({e}^{{ylnx}} \right)'={x}^{{y}} \left({y}'{lnx}+\frac{{y}}{{x}}\right)={x}^{{y}} {y}'{lnx}+{yx}^{{y}−\mathrm{1}}…
Question Number 5585 by 123456 last updated on 21/May/16 $${f}_{{n}} \left({x}\right)=\frac{{x}}{\mathrm{1}−{x}}+\frac{\mathrm{2}{x}}{\mathrm{2}−{x}}+…+\frac{{nx}}{{n}−{x}} \\ $$$${n}\in\mathbb{N}^{\ast} \\ $$$$−−−−−−−−−−−−−−−− \\ $$$${f}_{{n}} \left({x}\right)={f}_{{n}−\mathrm{1}} \left({x}\right)+\frac{{nx}}{{n}−{x}} \\ $$$${f}_{\mathrm{1}} \left({x}\right)=\frac{{x}}{\mathrm{1}−{x}} \\ $$$${f}_{{n}−\mathrm{1}} \left({x}\right)={f}_{{n}}…
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Question Number 5580 by Rasheed Soomro last updated on 21/May/16 $$\mathrm{Given}\:\mathrm{that}\:{p}^{{n}} =\mathrm{16}{p},\:\mathrm{express}\:\mathrm{log}_{\mathrm{2}} {p}\: \\ $$$$\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{n}\:. \\ $$ Answered by FilupSmith last updated on 21/May/16 $${p}^{{n}}…
Question Number 136649 by liberty last updated on 24/Mar/21 $$ \\ $$What the value of series (4/2) + (4.7/2.6) + (4.7.10/2.6.10) + (4.7.10.13/2.6.10.14) +…? Commented…
Question Number 71114 by TawaTawa last updated on 11/Oct/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5579 by Rasheed Soomro last updated on 21/May/16 $$\mathrm{Without}\:\mathrm{using}\:\mathrm{a}\:\mathrm{calculator},\:\mathrm{evaluate} \\ $$$$\left(\mathrm{log}\:\mathrm{5}\right)^{\mathrm{2}} +\mathrm{log}\:\mathrm{2}\:\mathrm{log}\:\mathrm{50} \\ $$ Answered by FilupSmith last updated on 21/May/16 $$\mathrm{log}\:{x}\:=\:\mathrm{log}_{\mathrm{10}} {x}…
Question Number 71115 by TawaTawa last updated on 11/Oct/19 Answered by mind is power last updated on 11/Oct/19 $$\mathrm{A}.\left(\mathrm{999994}\right)……\left(\mathrm{1000002}\right)=\mathrm{1}\left(\mathrm{1000003}\right) \\ $$$$\mathrm{used}\:\mathrm{wilson}\:\mathrm{theorem}\:\left(\mathrm{p}−\mathrm{1}\right)!=\mathrm{1}\left(\mathrm{p}\right) \\ $$$$\Rightarrow \\ $$$$\Rightarrow\mathrm{A}\left(−\mathrm{1}\right).\left(−\mathrm{2}\right)……\left(−\mathrm{9}\right)=\mathrm{1}\left(\mathrm{1000003}\right)…
Question Number 136651 by mhabs last updated on 24/Mar/21 Answered by Ñï= last updated on 24/Mar/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{\mathrm{1}}{\mathrm{1}+\left({a}\mathrm{tan}\:{x}\right)^{\mathrm{2}} }{dx}\overset{{t}=\mathrm{tan}\:{x}} {=}\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\mathrm{1}+{a}^{\mathrm{2}} {t}^{\mathrm{2}} }\centerdot\frac{\mathrm{1}}{\mathrm{1}+{t}^{\mathrm{2}}…