For the function

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

Problem

For the function y=(x2+1)(4x−3)x+2y=\dfrac{(x^{2}+1)(4x-3)}{x+2}, defined for x≠−2x\neq-2, determine the slope of the tangent to the curve at x=1x=1. (a) 283\dfrac{28}{3} (b) 289\dfrac{28}{9} (c) 269\dfrac{26}{9} (d) 103\dfrac{10}{3}

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