Let
then
and now differentiate implicitly.
My course seems to have some gaps and I'm having a hard time understanding hyperbolic inverse trig differentiation.
differentiate tanh^{-1}(sinx)
Book says switch x and y which will make the inverse go away
so I get tanh(siny) and Dx both sides
Dx = sec^{2}h(siny)*Dx (sin y)
= sec^{2}h(sin y) * cosy and thats where I get stuck. None of this seems to be right.
similarly the next problem is sinh^{-1 }(tan x) Hopefully if I can understand the mechanics of the first I can work the 2nd one a little smoother.
Thanks