Category: Relation and Functions

Question Number 37277 by abdo.msup.com last updated on 11/Jun/18 $$letf\left(x\right)=\frac{1}{1+x^n}withnintegr$$$$1)find{f}^{{}^{\prime }}\left(x\right)and{f}^{{}^{″}}\left(x\right)$$$$2)findthepolesoff$$$$3)calculate{f}^{\left(n\right)}\left(0\right)$$$$4)developpfatintegrserie.$$ Commented…

Question Number 37269 by abdo.msup.com last updated on 11/Jun/18 $$letf\left(x\right)=e^{-2x}ln(1+x)$$$$developpfatintegrserie.$$ Commented by prof Abdo imad last updated on 24/Jun/18 $${f}^{\left({n}\right)}…

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

Question Number 36933 by maxmathsup by imad last updated on 07/Jun/18 $$find{lim}_{n\to +\mathrm{\infty }}\sum _{i=1}^n\sum _{j=1}^n\frac{{(-1)}^{i+j}}{i+j}.$$ Terms of Service Privacy Policy…

Question Number 36927 by maxmathsup by imad last updated on 07/Jun/18 $$fisarealfunctionderivableon[0,1]/f\left(0\right)=0andf\left(1\right)=1$$$$provethat\mathrm{\forall }n\in N\mathrm{\exists }{\left(x_i\right)}_{1⩽i⩽n}seqenceofrealswith{x}_i\ne x_{j}ifi\ne j$$$${and}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:{f}^{'} \left({x}_{{k}} \right)={n}. \…