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Category: Relation and Functions

let-f-x-x-1-1-x-2-n-study-tbe-derivability-of-f-at-points-0-and-1-n-natural-integr-

Question Number 40102 by maxmathsup by imad last updated on 15/Jul/18 $${let}\:{f}\left({x}\right)\:=\:\frac{\mid{x}\mid}{\left(\mathrm{1}+\mid\mathrm{1}−{x}^{\mathrm{2}} \mid\right)^{{n}} } \\ $$$${study}\:{tbe}\:{derivability}\:{of}\:{f}\:{at}\:{points}\:\mathrm{0}\:{and}\:\mathrm{1}\:\left({n}\:{natural}\:{integr}\right) \\ $$ Answered by math khazana by abdo last…

let-f-x-ln-2-x-2-x-1-find-D-f-and-find-the-assymptotes-to-C-f-2-calculate-f-x-and-give-the-variation-of-f-3-give-the-graph-of-f-4-give-the-equation-of-tangent-to-C-f-at-po

Question Number 40097 by maxmathsup by imad last updated on 15/Jul/18 $${let}\:{f}\left({x}\right)={ln}\sqrt{\frac{\mathrm{2}+{x}}{\mathrm{2}−{x}}} \\ $$$$\left.\mathrm{1}\right)\:\:{find}\:{D}_{{f}} \:\:\:\:{and}\:{find}\:{the}\:{assymptotes}\:{to}\:{C}_{{f}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{f}^{'} \left({x}\right)\:{and}\:{give}\:{the}\:{variation}\:{of}\:{f} \\ $$$$\left.\mathrm{3}\right)\:{give}\:{the}\:{graph}\:{of}\:{f} \\ $$$$\left.\mathrm{4}\right)\:{give}\:{the}\:{equation}\:{of}\:{tangent}\:{to}\:{C}_{{f}\:} \:\:\:{at}\:{point}\:\:{E}\left(\frac{\mathrm{1}}{\mathrm{2}},{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\right) \\ $$$$\left.\mathrm{5}\right)\:{calculate}\:\:\:\int_{\mathrm{0}}…

find-a-equivalent-to-f-x-cos-sinx-for-x-v-0-2-find-a-equivalent-to-g-x-tan-pi-2x-1-x-0-

Question Number 40091 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:{a}\:{equivalent}\:{to}\:{f}\left({x}\right)={cos}\left({sinx}\right)\:{for}\:{x}\in{v}\left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{a}\:{equivalent}\:{to}\:{g}\left({x}\right)=\:{tan}\left(\frac{\pi}{\mathrm{2}{x}+\mathrm{1}}\right)\:\left({x}\rightarrow\mathrm{0}\right) \\ $$ Commented by math khazana by abdo last updated on…