Math 105-02: Calculus I: Reading Homework 4.6

1. Applications of the Chain Rule : how is the chain rule used in this section?
   
   1. The Derivative of x^1/2 : how does the book derive the derivative of x^1/2?
      
   2. The Derivative of a^x : what does the book start with to derive the derivative of this function? what does it do to this expression?
      
   3. Inverse Trig Functions : what inverse trig function derivatives does the book derive?