a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the

Chapter 16, Problem 3

(choose chapter or problem)

a Find the equations of the horizontal tangents to y = 2x3 + 3x2 12x + 1. b Find the points of contact where horizontal tangents meet the curve y = 2px + 1 px . c Find k if the tangent to y = 2x3 + kx2 3 at the point where x = 2 has gradient 4. d Find the equation of the other tangent to y = 1 3x + 12x2 8x3 which is parallel to the tangent at (1, 2).

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