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Verify-that-the-following-functions-satisfies-the-mean-value-theorem-1-f-x-x-x-2-x-at-2-1-2-f-x-x-3-4x-2-2x-4-at-2-2-




Question Number 135929 by Engr_Jidda last updated on 17/Mar/21
Verify that the following functions satisfies  the mean value theorem.  (1)   f(x) =(x/(x^2 −x))   at [−2,−1]  (2)  f(x)=x^3 −4x^2 −2x+4   at[−2,2]
$${Verify}\:{that}\:{the}\:{following}\:{functions}\:{satisfies} \\ $$$${the}\:{mean}\:{value}\:{theorem}. \\ $$$$\left(\mathrm{1}\right)\:\:\:{f}\left({x}\right)\:=\frac{{x}}{{x}^{\mathrm{2}} −{x}}\:\:\:{at}\:\left[−\mathrm{2},−\mathrm{1}\right] \\ $$$$\left(\mathrm{2}\right)\:\:{f}\left({x}\right)={x}^{\mathrm{3}} −\mathrm{4}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{4}\:\:\:{at}\left[−\mathrm{2},\mathrm{2}\right] \\ $$

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