a Find the equation of the tangent to y = x2 x + 9 at the point where x = a. Hence, find

Chapter 16, Problem 14

(choose chapter or problem)

a Find the equation of the tangent to y = x2 x + 9 at the point where x = a. Hence, find the equations of the two tangents from (0, 0) to the curve. State the coordinates of the points of contact. b Find the equations of the tangents to y = x3 from the external point (2, 0). c Find the equation of the normal to y = px from the external point (4, 0). Hint: There is no normal at the point where x = 0, as this is the endpoint of the function.

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