The diagram shows part of the curve y = ln(x + 1) ln x. The tangent

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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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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 02, 2021 12:50 AM

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The diagram shows part of the curve y = ln(x + 1) ln x. The tangent

Question:

y B В P (1, In 2) y- In (xi 1) - 1nx

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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

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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