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5-106.

Use your derivative tools to write the second derivative, , of each function below.

  1.  

    Start with the quotient Rule.

  2.  

    Use the chain rule.

  3.  

    You could use the quotient rule AND the chain rule...Or you could rewrite y as with exponents and quickly use the Power Rule!

  4.  

    Rewrite y as a piecewise function. The derivative will be a piecewise function as well. So will the second derivative.