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let f(x)=ax 3 +bx 2 +cx+d, where a,b,c and d are constant real numbers with a cant=0 how many critical points can f have? list

let f(x)=ax3+bx2+cx+d, where a,b,c and d are constant real numbers with a cant=0

how many critical points can f have? list all possible cases and provide an example with an explanation for each case

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