# Thread: Need Calculus Help - Hyperbolic Trig Functions

1. ## Need Calculus Help - Hyperbolic Trig Functions

I've got some serious problems here, and I don't have a clue where to start. I have to take the derivative of these functions:

1) y=coth(x^4)
2) f(x) = (x^{2})(cosh(x^{4})).
3) f(t) = (e^(t))sech (t)
4) f(x) = sinh(x) tanh (x)
5) f(t) = tanh(e^t)

Any help will be appreciated. Also, I know this is sort of the quick fix forum, but if you could possibly include how to solve each problem, it would be much appreciated. After all, I need to be able to figure this out come test time.

Nevermind guys, I got it.

2. Originally Posted by G-Rex
I've got some serious problems here, and I don't have a clue where to start. I have to take the derivative of these functions:

1) y=coth(x^4)
2) f(x) = (x^{2})(cosh(x^{4})).
3) f(t) = (e^(t))sech (t)
4) f(x) = sinh(x) tanh (x)
5) f(t) = tanh(e^t)

Any help will be appreciated. Also, I know this is sort of the quick fix forum, but if you could possibly include how to solve each problem, it would be much appreciated. After all, I need to be able to figure this out come test time.

Nevermind guys, I got it.
Generic method of solving these is to reduce the function to an expression
in terms of sinh and cosh, and to use the normal rules of differentiation to
differentiate the resulting expressions, and the known derivatives of sinh and cosh.

If you don't knoe the derivatives of sinh and cosh you can find them by
replacing sinh and cosh by their definitions in terma of the exponetial function
and differentiating that using the usual rules.

RonL