The curve has tangents parallel to the line at which of the following points?

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The curve y=x2−5x+6y = x^{2} - 5x + 6 has tangents parallel to the line y=3x−4y = 3x - 4 at which of the following points? (a) (73, −29)\left(\dfrac{7}{3},\,-\dfrac{2}{9}\right) (b) (4,2)(4, 2) (c) (4,0)(4, 0) (d) (12, 154)\left(\dfrac{1}{2},\,\dfrac{15}{4}\right)

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