Calculate the slope of the tangent line to the curve at .

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Calculate the slope of the tangent line to the curve f(x)=3x+2x2−1f(x)=\dfrac{3x+2}{x^{2}-1} at x=2x=2. (a) −149-\dfrac{14}{9} (b) 239\dfrac{23}{9} (c) −239-\dfrac{23}{9} (d) −233-\dfrac{23}{3}

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