Question Number 28304 by NECx last updated on 23/Jan/18 $${if}\:{y}=\left(\mathrm{sin}^{−\mathrm{1}} {x}\right)^{\mathrm{2}} +\left(\mathrm{cos}^{−\mathrm{1}} {x}\right)^{\mathrm{2}} \\ $$$$ \\ $$$${find}\:{dy}/{dx} \\ $$ Answered by ajfour last updated on…
Question Number 93837 by mhmd last updated on 15/May/20 Commented by i jagooll last updated on 15/May/20 $$\mathrm{t}=\mathrm{2}\:\Rightarrow\mathrm{x}=\mathrm{6} \\ $$$$\left.\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{3x}^{\mathrm{2}} −\mathrm{4x}\:\right]_{\mathrm{x}=\:\mathrm{6}} \\ $$$$=\:\mathrm{3}\left(\mathrm{36}\right)−\mathrm{24}\:=\:\mathrm{108}−\mathrm{24} \\ $$$$=\mathrm{84}…
Question Number 28198 by NECx last updated on 21/Jan/18 $${Find}\:{the}\:{shortest}\:{distance}\:{from} \\ $$$${the}\:{origin}\:{to}\:{the}\:{curve}\:{xy}=\mathrm{3} \\ $$ Answered by mrW2 last updated on 22/Jan/18 $${distance}\:{of}\:{point}\:\left({x},{y}\right)\:{to}\:{the}\:{origin}\:{is}\:{r}. \\ $$$${r}^{\mathrm{2}} ={x}^{\mathrm{2}}…
Question Number 28199 by NECx last updated on 21/Jan/18 $${suppose}\:{one}\:{of}\:{the}\:{side}\:{of}\:{any} \\ $$$${box}\:{that}\:{can}\:{be}\:{carried}\:{onto}\:{an} \\ $$$${airplane}\:{must}\:{be}\:{less}\:{than}\:\mathrm{8}{m}. \\ $$$${Find}\:{the}\:{maximum}\:{value}\:{of}\:{such} \\ $$$${a}\:{box}\:{if}\:{the}\:{sum}\:{of}\:{the}\:{three}\:{sides} \\ $$$${can}\:{not}\:{exceed}\:\mathrm{46}{m}. \\ $$ Answered by mrW2…
Question Number 93732 by Ar Brandon last updated on 14/May/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{n}-\mathrm{th}\:\mathrm{derivative}\:\mathrm{of} \\ $$$$\mathrm{f}\left({x}\right)=\mathrm{sin}\left({x}\right){l}\mathrm{n}{x} \\ $$ Commented by mathmax by abdo last updated on 14/May/20 $${f}^{\left({n}\right)}…
Question Number 93725 by ckkim89 last updated on 14/May/20 Answered by Rio Michael last updated on 14/May/20 $$\mathrm{let}\:{y}\:=\:{f}\left({x}\right)\:\Rightarrow\:{y}\:=\:\mathrm{cos}^{−\mathrm{1}} \left(−\mathrm{3}{x}\right) \\ $$$$\Rightarrow\:\mathrm{cos}\:{y}\:=\:−\mathrm{3}{x} \\ $$$$\Rightarrow\:−\mathrm{sin}\:{y}\:{y}\:'\:=\:−\mathrm{3} \\ $$$$\Rightarrow\:{y}'\:=\:\frac{\mathrm{3}}{\mathrm{sin}\:{y}}…
Question Number 28105 by mubeen897@hotmail.com last updated on 20/Jan/18 Commented by mubeen897@hotmail.com last updated on 20/Jan/18 $${differentiate}\:{Question}\:\mathrm{28}\:{by}\:{cover}\:{up}\:{method}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 93555 by mhmd last updated on 13/May/20 Commented by prakash jain last updated on 13/May/20 $$\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{i}}\end{pmatrix}\:{a}^{{i}} {b}^{{n}−{i}} =\left({a}+{b}\right)^{{n}} \\ $$$$\mathrm{Comparing}\:\mathrm{with}\:\mathrm{the}\:\mathrm{question} \\…
Question Number 159021 by Abdissalammjr last updated on 11/Nov/21 Answered by mkam last updated on 11/Nov/21 $$ \\ $$$$\frac{{dy}}{{dx}}−\frac{\mathrm{2}{x}}{{x}+\mathrm{4}}\:{y}\:=\:−\mathrm{0}.\mathrm{4} \\ $$$$ \\ $$$${p}\left({x}\right)\:=\:−\:\frac{\mathrm{2}{x}}{{x}+\mathrm{4}}\:,\:{Q}\left({x}\right)=\:−\mathrm{0}.\mathrm{4} \\ $$$$…
Question Number 93478 by Ar Brandon last updated on 13/May/20 $$\mathrm{1}\backslash\mathrm{Calculate}\:\mathrm{f}_{\mathrm{x}} \left(\mathrm{2},\mathrm{3}\right)\:\mathrm{if}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)=\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{2}\backslash\mathrm{Calculate}\:\mathrm{df}\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{for}\:\mathrm{x}=\mathrm{1},\:\mathrm{y}=\mathrm{0},\:\mathrm{dx}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{dy}=\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{if}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)=\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} } \\ $$ Commented by PRITHWISH SEN…