The function arcsinh x is the inverse function of sinh x. (a) Use a computer algebra

Chapter 0, Problem 104

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

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