Question Number 154396 by DELETED last updated on 18/Sep/21
Answered by DELETED last updated on 18/Sep/21
$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{3}}\mathrm{x}^{\mathrm{3}} −\mathrm{500x}^{\mathrm{2}} +\mathrm{6000}.\mathrm{000} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{x}^{\mathrm{2}} −\mathrm{1000x} \\ $$$$\mathrm{syarat}\:\mathrm{maximum}\:,\:\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{2}} −\mathrm{1000x}=\mathrm{0} \\ $$$$\mathrm{x}\left(\mathrm{x}−\mathrm{1000}\right)=\mathrm{0} \\ $$$$\mathrm{x}_{\mathrm{1}} =\mathrm{0}\:\mathrm{dan}\:\mathrm{x}_{\mathrm{2}} =\mathrm{1000} \\ $$