Mathegoras

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Horizontal tangent of a rational function

High school · ●●○○○ 20 pts

The graph of f(x)=ax+b(x−1)(x−4)f(x)=\frac{ax+b}{(x-1)(x-4)} has a horizontal tangent line at (2,−1)(2,-1). Determine the values of aa and bb.

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rational functionstangent linesderivativesquotient rule