A logarithmic curve with a maximum

A logarithmic curve with a maximum

Secondary 4
5 marks
TGM Original Questions

A curve has equation \(y=\ln(2x+1)-x\), where \(x>-\frac12\).

  1. Find the exact coordinates of its stationary point.[3]
  2. Determine the nature of this point.[2]

Solution:

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Answer:Maximum at \(\left(\frac12,\ln2-\frac12\right)\).

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