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is a curve. The tangent to the curve at the point meets x-axis at A and y-axis at B. The normal to…
$y = \ln(x+1) - \ln x$ is a curve. The tangent to the curve at the point $P(1, \ln 2)$ meets x-axis at A and y-axis at B. The normal to the curve at P meets the x-axis at C and y-axis at D.
(a)
Find the slope of tangent at P and find the slope of normal at P.
(b)
Find the equation of tangent at P.
(c)
Find the equation of normal at P.
(d)
Find the co-ordinates of A and C in terms of $\ln 2$.
Answer
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From ISC 2025 Practice Mathematics, question 104.