Menu Close

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-




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

Leave a Reply

Your email address will not be published. Required fields are marked *