Arc sine and arc tangent composites

Arc sine and arc tangent composites

IB Year 6 | Grade 12

4 marks

For \(f(x)=\arcsin\!\left(\frac x2\right)+\arctan(3x)\), find \(f'(x)\) and state its domain.[4]

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Answer:\(\frac1{\sqrt{4-x^2}}+\frac3{1+9x^2},\ -2<x<2\)

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