Category: Coordinate Geometry

Question Number 143890 by pandu last updated on 19/Jun/21 $$ifa+b+c=\pi$$$$tanA+tanB+tanC=tanA.tanB.tanC$$$$\mathrm{FAILED}\mathrm{TO}\mathrm{CALCULATE}$$ Answered by justtry last updated on 19/Jun/21 Answered by…

Question Number 143718 by cherokeesay last updated on 17/Jun/21 Commented by TheHoneyCat last updated on 17/Jun/21 $$Hi,whatdoyoumeanby{}^{″}\mid B{\mid }^{″}?$$$$itlookslikeyouaretalkingaboutanormbutwhichone?$$ Commented by TheHoneyCat last…

Question Number 12576 by tawa last updated on 26/Apr/17 $$\mathrm{Given}\mathrm{two}\mathrm{functions}\mathrm{f}\left(\mathrm{x}\right)\mathrm{and}\mathrm{g}\left(\mathrm{x}\right)\mathrm{with}\mathrm{f}\left(1\right)=7,\mathrm{g}\left(2\right)=1,{\mathrm{f}}^{\prime }\left(1\right)=204$$$$\mathrm{and}{\mathrm{g}}^{\prime }\left(\mathrm{x}\right)=22.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{derivative}\mathrm{of}\mathrm{f}\left(\mathrm{g}\left(\mathrm{x}\right)\right)\mathrm{at}\mathrm{x}=2$$ Answered by mrW1 last updated on 26/Apr/17 $$\frac{df}{dx}=\frac{df\left(g\right)}{dg}\times \frac{dg\left(x\right)}{dx}=f^{\prime }\left(g\left(x\right)\right)\times g^{\prime }\left(x\right)$$$$={f}'\left({g}\left(\mathrm{2}\right)\right)×{g}'\left(\mathrm{2}\right)={f}'\left(\mathrm{1}\right)×{g}'\left(\mathrm{2}\right)=\mathrm{204}×\mathrm{22} \…

Question Number 12246 by tawa last updated on 16/Apr/17 $$\mathrm{Let}\mathrm{g}\left(\mathrm{x}\right)\mathrm{be}\mathrm{an}\mathrm{ininitely}\mathrm{differentiable}\mathrm{function},\mathrm{such}\mathrm{that}$$$$\mathrm{g}(2\mathrm{x}+6)={\mathrm{g}}^{{}^{\prime }}(3\mathrm{x}-1)\mathrm{for}\mathrm{all}\mathrm{x}.$$$$\mathrm{given}\mathrm{that}\mathrm{g}\left(\frac{44}{3}\right)=33.\mathrm{find}{\mathrm{g}}^{″}\left(8\right)$$ Answered by mrW1 last updated on 16/Apr/17 $${u}=\mathrm{3}{x}−\mathrm{1}\Rightarrow{x}=\frac{{u}+\mathrm{1}}{\mathrm{3}}\Rightarrow\mathrm{2}{x}+\mathrm{6}=\mathrm{2}×\frac{{u}+\mathrm{1}}{\mathrm{3}}+\mathrm{6}=\frac{\mathrm{2}{u}+\mathrm{20}}{\mathrm{3}}…

Question Number 11695 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 30/Mar/17 Commented by mrW1 last updated on 30/Mar/17 $$thereisnomax.ormin.thereisonly$$$$alocalmax.$$ Commented by mrW1 last…