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Math Help - How would you derive this??

  1. #1
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    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?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by runner07 View Post
    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}
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  3. #3
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    oh wow that completely slipped my mind. thanks!
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  4. #4
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    Quote Originally Posted by runner07 View Post
    y= arctan(sinhx)
    Or you can take \tan y=\sinh x, that also makes sense.
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Krizalid View Post
    Or you can take \tan y=\sinh x, that also makes sense.
    yes. and, of course, you would have to do implicit differentiation here
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