Mathematics

Mathematics

Problem

For the curve y=cosh⁡xy=\cosh x, a student computes dydx=sinh⁡x\dfrac{dy}{dx}=\sinh x. Which of the following expressions is equal to 1+sinh⁡2x\sqrt{1+\sinh^{2}x} for all real xx? a) cosh⁡2x\cosh^{2}x b) sinh⁡x\sinh x c) cosh⁡x\cosh x d) sech⁡x\operatorname{sech}x

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