Which of the following points on the curve has a vertical tangent line?

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Which of the following points on the curve xy2+y=4x y^{2}+y=4 has a vertical tangent line? (a) (12, 2)\left(\dfrac{1}{2},\,2\right) (b) (−116, 8)\left(-\dfrac{1}{16},\,8\right) (c) (316, 83)\left(\dfrac{3}{16},\,\dfrac{8}{3}\right) (d) (0,4)(0,4)

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