Derivatives of Trigonometric and Inverse Trigonometric Functions

Find the derivative y' (y prime) of the following functions and simplify your answer. Show your solutions completely. Box your final answer.

Note: Hello tutor! Can you solve this with a solution and a detailed explanation every step. Pleaseeee, thank you so much!

1. y 2 cos x sin 2x - sin x cos 2x 2. y = In sin 2x x-1 3. y = arcsin x +1 4 . y = carctan 2x 1 In (1 + 4x2 5. y = CSC 1