Determine the equation of the tangent line to at .

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

Problem

Determine the equation of the tangent line to g(x)=x2+12x−3g(x)=\dfrac{x^{2}+1}{2x-3} at x=1x=1. (a) y=−6x+8y=-6x+8 (b) y=6x−8y=6x-8 (c) y=−6x+4y=-6x+4 (d) y=−6x−4y=-6x-4

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