Page 27 - Math SL HB Sem 2

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(c) On the diagram below, draw the graph of y: (2x).

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r

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1 I I 0 r
r rI
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(Total 6 marks)

rO Letf(i = x3 - 3x2 - 24x +1.

The tangents to the curve of/at the points p and e are parallel to the.x-axis, where p is to the
left of Q.

(a) Calculate the coordinates ofp and ofe.

Let 1y'r and N2 be the normals to the curve at p and e respectively.

(b) Write down the coordinates of the points where

(i) the tangent at P intersects try'2;

(ii) the tangent at Q intersects y'y'1.

Cfotal 6 marks)

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