Arc tangent of a reciprocal composite

Arc tangent of a reciprocal composite

IB Year 6 | Grade 12

4 marks

For \(f(x)=\arctan\!\left(\frac1{x+2}\right)\), find \(f'(x)\). State where \(f\) is undefined.[4]

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Answer:\(-\frac1{(x+2)^2+1},\ x\ne-2\)

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