Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

Question Number 39170 by Rio Mike last updated on 03/Jul/18

Find the value of k if   (d/dx)(f(x))= 6 when x = −1   and f(x) = 3x^3  − kx^2  + 1   if f(2) = 8 find one factor of  f(x) and hence Evaluate  lim_(x→∞) (f(x)).

$${Find}\:{the}\:{value}\:{of}\:{k}\:{if}\: \\ $$$$\frac{{d}}{{dx}}\left({f}\left({x}\right)\right)=\:\mathrm{6}\:{when}\:{x}\:=\:−\mathrm{1}\: \\ $$$${and}\:{f}\left({x}\right)\:=\:\mathrm{3}{x}^{\mathrm{3}} \:−\:{kx}^{\mathrm{2}} \:+\:\mathrm{1}\: \\ $$$${if}\:{f}\left(\mathrm{2}\right)\:=\:\mathrm{8}\:{find}\:{one}\:{factor}\:{of} \\ $$$${f}\left({x}\right)\:{and}\:{hence}\:{Evaluate} \\ $$$$\underset{{x}\rightarrow\infty} {{lim}}\left({f}\left({x}\right)\right). \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com