(a) If t is differentiable, the Reciprocal Rule says that Use the Quotient Rule to prove

Chapter 3, Problem 3.2.58

(choose chapter or problem)

(a) If t is differentiable, the Reciprocal Rule says that Use the Quotient Rule to prove the Reciprocal Rule. (b) Use the Reciprocal Rule to differentiate the function in Exercise 18. (c) Use the Reciprocal Rule to verify that the Power Rule is valid for negative integers, that is, for all positive integers n. d dx !x!n " ! !nx!n!1 d dx * 1 t!x" + ! ! t%!x" & t!x"'2

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