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?
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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. $\displaystyle \frac {d}{dx} \arctan u = \frac {u'}{1 + u^2}$
oh wow that completely slipped my mind. thanks!
Originally Posted by runner07 y= arctan(sinhx) Or you can take $\displaystyle \tan y=\sinh x$, that also makes sense.
Originally Posted by Krizalid Or you can take $\displaystyle \tan y=\sinh x$, that also makes sense. yes. and, of course, you would have to do implicit differentiation here
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