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Differentiate each of the following functions.

  1. Do NOT use the quotient rule (though it will work). This is a Power Rule problem: . Reserve the Quotient Rule for situations in which there are variables in BOTH the numerator and the denominator.

  2. Chain Rule.

  3. This is not technically a Chain Rule problem, though you may use it.


    This calls for the Quotient Rule.

  5. )

    Product Rule & Chain Rule combined.

  6. Refer to the hint in part (a). And recall that the reciprocal of is .