Theorem 6.11 a. The definition of the inverse hyperbolic
Chapter 6, Problem 106(choose chapter or problem)
Theorem 6.11 a. The definition of the inverse hyperbolic cosine is y = cosh-1 x3x = cosh y, for x 1, 0 y 6 _. Use implicit differentiation to show that d dx 1cosh-1 x2 = 1>2x2 - 1. b. Differentiate sinh-1 x = ln 1x + 2x2 + 12 to show that d dx 1sinh-1 x2 = 1>2x2 + 1.
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