(a) If t is differentiable, the Reciprocal Rule says that d dx F 1 tsxd G 2 t9sxd f
Chapter 3, Problem 63(choose chapter or problem)
(a) If t is differentiable, the Reciprocal Rule says that d dx F 1 tsxd G 2 t9sxd f tsxdg2 Use the Quotient Rule to prove the Reciprocal Rule. (b) Use the Reciprocal Rule to differentiate the function y 1ysx 4 1 x 2 1 1d. (c) Use the Reciprocal Rule to verify that the Power Rule is valid for negative integers, that is, d dx sx2n d 2nx2n21 for all positive integers n.
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