# Math Help - How would you derive this??

1. ## How would you derive this??

ok so here is the function (we're working with hyperbolic trig)....

y= arctan(sinhx)

so i'm thinking we do product rule here? but then, what's the derivative of arctan? is there one?

2. Originally Posted by runner07
ok so here is the function (we're working with hyperbolic trig)....

y= arctan(sinhx)

so i'm thinking we do product rule here? but then, what's the derivative of arctan? is there one?
the derivative of arctan(x) is something you can find in your text.

$\frac {d}{dx} \arctan u = \frac {u'}{1 + u^2}$

3. oh wow that completely slipped my mind. thanks!

4. Originally Posted by runner07
y= arctan(sinhx)
Or you can take $\tan y=\sinh x$, that also makes sense.

5. Originally Posted by Krizalid
Or you can take $\tan y=\sinh x$, that also makes sense.
yes. and, of course, you would have to do implicit differentiation here