Hi,

Can somebody please help me with finding the derivative of this function? I can find the derivative if it is a normal function but the inverse function has me stumped at the moment.

Thanks

Elbarto

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- Sep 10th 2007, 05:26 AMelbartoInverse Hyperbolic Trig Functions?
Hi,

Can somebody please help me with finding the derivative of this function? I can find the derivative if it is a normal function but the inverse function has me stumped at the moment.

Thanks

Elbarto - Sep 10th 2007, 05:50 AMtopsquark
- Sep 10th 2007, 06:08 AMelbarto
Hi dan,

Im just trying to find the derivative of y. is it as simple as

?

Thanks for your help

- Sep 10th 2007, 06:28 AMSoroban
Hello, Elbarto!

There is a formula for this problem.

If you don't know it, we can derive it.

Quote:

Take the of both sides: . .**[1]**

Differentiate implicitly: . .**[2]**

From the identity: . , we have: .

Then [2] becomes: .

Substitute [1] and we have: .

- Sep 10th 2007, 10:24 AMtopsquark
Oh! That "ar" on the outside of the sinh(x), that was supposed to mean "arcsinh(x)"? Sorry about that.

-Dan