Derivative of hyperbolic functions on Wolfram Alpha?

Questions
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1

When I input “Derivative of 9sinh(lnt)” in Wolfram Alpha it gives 9(1/t^2 +1); the correct answer should be 9((t^2-1)/2t). Is Wolfram incapable of taking the derivative of hyperbolic functions or is my input wrong?

2

Wolfram Alpha does not give 9(1/t^2 +1).

It gives 9/2 * (1 + 1/t^2)