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1. Which differentiation rule is used to show sin y = cos y da dy ? 2. One of (a)-(c) is incorrect. Find the mistake

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1. Which differentiation rule is used to show sin y = cos y da dy ? 2. One of (a)-(c) is incorrect. Find the mistake and correct it. (a) d dy sin (y2 - 2y cos y2 b _ sin x2 - 2x cos (x2) (c & sin (yz ) = 2y cos (y?) 3. On an exam, Jason was asked to differentiate the equation x2 + 2xy + y3 = 7 What are the errors in Jason's answer below? 2x + 2xy' + 3y2 =0 4. Which inverse trigonometric function g(x) has the derivative g' (x 1 x2+1

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