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