Given-f-x-ax-3-bx-2-cx-d-a-0-and-f-x-1-for-0-x-1-find-max-value-of-a-

Question Number 175951 by blackmamba last updated on 10/Sep/22

$$\:{Given}\:{f}\left({x}\right)={ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}\: \\ $$$$\:{a}\neq\:\mathrm{0}\:{and}\:\mid{f}\:'\left({x}\right)\mid\:\leqslant\:\mathrm{1}\:{for}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\: \\ $$$$\:{find}\:{max}\:{value}\:{of}\:{a}. \\ $$

Commented by infinityaction last updated on 10/Sep/22

$${what}\:{is}\:{answer}\:{of}\:{this}\:{question} \\ $$

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