The diagram shows part of the curve y = ln(x + 1) ln x. The tangent
Question:
The diagram shows part of the curve y = ln(x + 1) – ln x. The tangent to the curve at the point P(1, ln 2) meets the x-axis at A and the y-axis at B. The normal to the curve at P meets the x-axis at C and the y-axis D.
a. Find, in terms of ln 2, the coordinates of A, B, C and D.
b. Given that Area of triangle BPD/Area of triangle APC = 1/k, express k in terms of ln 2.
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Step by Step Answer:
To find the coordinates of points A B C and D well start by finding the equations of the tangent and normal lines at point P1 ln 2 The derivative of y ...View the full answer
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Related Book For 
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
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