Category: Differentiation

Question Number 215528 by alephnull last updated on 09/Jan/25 Commented by mr W last updated on 10/Jan/25 $$thisisnotaquestion,actuallypure$$$$non-sensewithalotof$$$$mathematicalsymbolsstacked$$$${together}. \…

Question Number 214726 by universe last updated on 18/Dec/24 $$\mathrm{for}\mathrm{the}\mathrm{function}z=x{\tan }^{-1}\left(\frac{y}{x}\right)+y{\sin }^{-1}\left(\frac{x}{y}\right)+2$$$$\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 214000 by golsendro last updated on 24/Nov/24 $$\mathrm{Let}\mathrm{y}\left(\mathrm{x}\right)\mathrm{be}\mathrm{the}\mathrm{solution}\mathrm{of}\mathrm{diff}\mathrm{eq}.$$$$\mathrm{y}{}^{\prime }=\frac{\cos \mathrm{x}+\mathrm{y}}{\cos \mathrm{x}},\mathrm{y}\left(0\right)=0$$$$\mathrm{Find}\mathrm{y}\left(\frac{\pi }{6}\right).$$ Commented by mr W last updated on 24/Nov/24 $${do}\:{you}\:{mean}\:\mathrm{cos}\:\left({x}+{y}\right)\:{instead}\:{of}…

Question Number 212928 by efronzo1 last updated on 27/Oct/24 Commented by mr W last updated on 27/Oct/24 $$doesthequestionmeanmsximum$$$$orminimum?ifCandDmustlie$$$$betweenBandE,thenthereisonly$$$${min}\left({x}+{y}\right),\:{but}\:{no}\:{max}\left({x}+{y}\right).\:{if}\:{C} \…

Question Number 211594 by mnjuly1970 last updated on 14/Sep/24 $$$$$$If,{\stackrel{-}{H}}_n=1-\frac{1}{2}+\frac{1}{3}-\dots +\frac{{(-1)}^{n+1}}{n}$$$$provethat:\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{\stackrel{-}{H}}_n-\ln \left(2\right)}{n}={\ln }^2\left(2\right)$$$$\:\:\:\:\:\:\:−−−−−−−−−−\:\:\:\:\:\: \…