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# FP2 differentiating hyperbolic functions watch

1. Hi, just started FP2 and have a question but havent got a clue how to do it.
Show that d sin^-1(tanhx) =sechx
dx
Could anyone give me a hand how to start it please?
Thank you for any help in advance.
2. Differentiating hyperbolic functions is identical to differentiating normal trig functions, except that you need to bear Osborne's rule in mind.

http://mathworld.wolfram.com/OsbornesRule.html

With your example, slightly more complex - try writing the expression as

and implicitly differentiate.
3. You can break down the problem by letting . Now, if you know how to differentiate , then you can use the chain rule. If you don't know how to do that, work out how and then use the chain rule

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