Menu Close

Category: Relation and Functions

let-f-x-x-1-x-2-x-4-1-find-f-n-x-2-calculate-f-n-0-3-developp-f-at-integr-serie-

Question Number 37282 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{f}\left({x}\right)=\frac{{x}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} } \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right){developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by abdo.msup.com…

let-f-x-1-1-x-n-with-n-integr-1-find-f-x-and-f-x-2-find-the-poles-of-f-3-calculate-f-n-0-4-developp-f-at-integr-serie-

Question Number 37277 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+{x}^{{n}} }\:\:{with}\:{n}\:{integr} \\ $$$$\left.\mathrm{1}\right){find}\:{f}^{'} \left({x}\right)\:{and}\:{f}^{''} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{poles}\:{of}\:{f} \\ $$$$\left.\mathrm{3}\right){calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{4}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented…

f-100x-1-50x-1-2x-1-amp-f-1-3-p-p-

Question Number 102721 by bramlex last updated on 10/Jul/20 $$\mathrm{f}\left(\frac{\mathrm{100x}−\mathrm{1}}{\mathrm{50x}+\mathrm{1}}\right)\:=\:\mathrm{2x}−\mathrm{1}\:\&\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{3}\right)=\:\mathrm{p} \\ $$$$\mathrm{p}=? \\ $$ Commented by bramlex last updated on 10/Jul/20 $$\mathrm{f}^{−\mathrm{1}} \left(\mathrm{3}\right)=\mathrm{p}\:\Leftrightarrow\mathrm{f}\left(\mathrm{p}\right)=\mathrm{3} \\…

f-is-a-real-function-derivable-on-0-1-f-0-0-and-f-1-1-prove-that-n-N-x-i-1-i-n-seqence-of-reals-with-x-i-x-j-if-i-j-and-k-1-n-f-x-k-n-

Question Number 36927 by maxmathsup by imad last updated on 07/Jun/18 $${f}\:{is}\:{a}\:{real}\:{function}\:{derivable}\:{on}\:\left[\mathrm{0},\mathrm{1}\right]\:/{f}\left(\mathrm{0}\right)=\mathrm{0}\:{and}\:{f}\left(\mathrm{1}\right)=\mathrm{1} \\ $$$${prove}\:{that}\:\forall{n}\in{N}\:\:\exists\:\:\:\left({x}_{{i}} \right)_{\mathrm{1}\leqslant{i}\leqslant{n}} \:{seqence}\:{of}\:{reals}\:{with}\:{x}_{{i}} \neq{x}_{{j}} \:{if}\:{i}\neq{j} \\ $$$${and}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:{f}^{'} \left({x}_{{k}} \right)={n}. \\…