Example 5 Video Example < Differentiate. 5 sin ¹(x) (b) f(x) = x arctan(√x) (a) y = Solution (b) 68 [5(sin-¹(x))-¹] f'(x) = x( II 5 (sin(x)) 1 + arctan(và) X -(sin-¹(x))

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A: To simplify: The expression . Formula used: Trigonometry identity:

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