1.11: Equation of a tangent to a logarithmic rational curve

0606/11/M/J/20 — Question 5 · 6 marks

Find the equation of the tangent to the curve y=ln(3x21)x+2y = \dfrac{\ln(3x^{2} - 1)}{x + 2} at the point where x=1x = 1. Give your answer in the form y=mx+cy = mx + c, where mm and cc are constants correct to 33 decimal places.
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