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

 Given f(x)=ax^3 +bx^2 +cx+d    a≠ 0 and ∣f ′(x)∣ ≤ 1 for 0≤x≤1    find max value of a.

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

Commented by infinityaction last updated on 10/Sep/22

what is answer of this question

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

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