Question Number 188083 by Kalebwizeman last updated on 25/Feb/23 $${determine}\:{the}\:{value}\:{of}\:{b}\:{for}\:{which}\: \\ $$$$\:\:\:{y}=\frac{−{x}}{\mathrm{3}}\:+{b}\:\:{meets}\:{the}\:{graph}\:{of} \\ $$$$\:{y}^{\mathrm{2}} ={x}^{\mathrm{3}} \:\:{orthogonally} \\ $$ Commented by a.lgnaoui last updated on 27/Feb/23…
Question Number 122525 by mnjuly1970 last updated on 17/Nov/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{calculus}… \\ $$$$\:\:{prove}\:{that}\:\:\::::::\gg\:\:\:\Psi=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left(\mathrm{1}−{x}\right)}{\mathrm{2}−{x}}{dx}=−\frac{\pi^{\mathrm{2}} }{\mathrm{12}}\:\checkmark \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:…\:{m}.{n}.\mathrm{1970}… \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$ Answered by Dwaipayan Shikari…
Question Number 188037 by Michaelfaraday last updated on 25/Feb/23 $${find}\:\frac{{dy}}{{dx}} \\ $$$${y}=\mathrm{2}{x}^{\sqrt{{x}}} \\ $$ Answered by horsebrand11 last updated on 25/Feb/23 $$\:\mathrm{ln}\:{y}=\sqrt{{x}}\:\mathrm{ln}\:\left(\mathrm{2}{x}\right) \\ $$$$\:\frac{\mathrm{1}}{{y}}.{y}'=\frac{\mathrm{ln}\:\left(\mathrm{2}{x}\right)}{\mathrm{2}\sqrt{{x}}}+\frac{\mathrm{2}\sqrt{{x}}}{\mathrm{2}{x}} \\…
Question Number 188033 by Michaelfaraday last updated on 25/Feb/23 $${from}\:{first}\:{principle} \\ $$$${y}={xInx}\:\:{find}\:\frac{{dy}}{{dx}} \\ $$ Answered by a.lgnaoui last updated on 25/Feb/23 $$\frac{{dy}}{{dx}}={lnx}+\mathrm{1}=\frac{{y}}{{x}}+\mathrm{1} \\ $$$$\frac{{y}}{{x}}=\frac{{dy}}{{dx}}−\mathrm{1}\Rightarrow \\…
Question Number 188017 by Rupesh123 last updated on 24/Feb/23 Answered by aleks041103 last updated on 24/Feb/23 $${f}\left({x},{y}\right)={ln}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)=\mathrm{2}{ln}\left({r}\right) \\ $$$${r}=\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} } \\ $$$$\Rightarrow{f}\left({x},{y}\right)={f}\left({r}\right)…
Question Number 122434 by benjo_mathlover last updated on 17/Nov/20 $$\:{If}\:{f}\left({x}\right)\:=\:\int_{{a}} ^{\:\left(\underset{{a}} {\overset{{x}^{\mathrm{3}} } {\int}}\:\frac{{dt}}{\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} {t}}\:\right)} \left(\frac{{dt}}{\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} {t}}\right) \\ $$$${then}\:{f}\:'\left({x}\right)\:? \\ $$ Answered by liberty last…
Question Number 122393 by benjo_mathlover last updated on 16/Nov/20 $$\:\:{f}\left({x}\right)\:=\:{x}\:\mid{x}−\mathrm{1}\mid\:\Rightarrow{f}\:'\left(\mathrm{1}\right)=? \\ $$ Answered by MJS_new last updated on 16/Nov/20 $$\mathrm{does}\:\mathrm{not}\:\mathrm{exist} \\ $$ Answered by Bird…
Question Number 122348 by liberty last updated on 16/Nov/20 $$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{derivative}\:\frac{\mathrm{dy}}{\mathrm{dx}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{implicit}\:\mathrm{function}\:\underset{\pi/\mathrm{2}} {\overset{\mathrm{x}} {\int}}\sqrt{\mathrm{3}−\mathrm{2sin}\:^{\mathrm{2}} \mathrm{z}}\:\mathrm{dz}\:+\:\underset{\mathrm{0}} {\overset{\mathrm{y}} {\int}}\:\mathrm{cos}\:\mathrm{t}\:\mathrm{dt}.\: \\ $$ Terms of Service Privacy Policy Contact:…
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