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GRE
GRE Quantitative Reasoning Section

Determining the Constant k for a Local Maximum

Very Hard Algebra Functions

Consider a function defined by the equation:

$$ f(x) = 2x^3 - 3x^2 + kx + 5 $$

Where $$ k $$ is a constant. If the function has a local maximum at $$ x = 1 $$, what is the value of $$ k $$?

Hint

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