Arc cosine composite and its domain

Arc cosine composite and its domain

IB Year 6 | Grade 12
4 marks

Let \(y=\arccos(2x-1)\). Find \(\frac{\mathrm dy}{\mathrm dx}\) and state the interval on which the derivative exists.[4]

Solution:

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Answer:\(-\frac1{\sqrt{x(1-x)}},\ 0<x<1\)

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