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For each of the following functions, find .

  1. Use the Chain Rule. You may have to use it more than once.

    The derivative of is . For , due to the nature of , its derivative is itself.

  1. What is the derivative of an integral?
    Also, should your result be in terms of or in terms of ?
    To answer this, imagine the result of actually integrating the function first before differentiating it.

  1. Use implicit differentiation.