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The function f (x) = cosh x is one-to-one if x 0. Based on this restriction, define inverse hyperbolic cosine, by y = c o

The function f (x) = cosh x is one-to-one if x 0. Based on this restriction, define inverse hyperbolic cosine, by

y = cosh1x cosh y = x

1. Derive a formula forcosh1x Your answer should involve the natural logarithm. Make sure to specify any bounds on x. 2. Using the formula in part 1, derive a formula ford/dx[cosh1x]

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