The function arccosh x, for x 0, is the inverse function of cosh x, for x 0. (a) Use a

Chapter 0, Problem 105

(choose chapter or problem)

The function arccosh x, for x 0, is the inverse function of cosh x, for x 0. (a) Use a computer algebra system to find the derivative of arccosh x. (b) Derive the formula by hand by differentiating both sides of the equation cosh(arccosh x) = x, x 1. [Hint: Use the identity cosh2 x sinh2 x = 1.]

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