what is the first derivative of sec^2 x ... thanks =)
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Originally Posted by go.leafs.go.89 what is the first derivative of sec^2 x ... thanks =) 2sec^2xtanx
so the derivative of sec x is tan x?
Originally Posted by go.leafs.go.89 what is the first derivative of sec^2 x ... thanks =) let then taking the derivative by the chain rule gives but u is so we get
hmm i had to use that in a question lim tan x - x x->0 --------- x^2 i used l'hopital's rule to do this .. but couldn't get very far .. any suggestions?
Originally Posted by go.leafs.go.89 hmm i had to use that in a question lim tan x - x x->0 --------- x^2 i used l'hopital's rule to do this .. but couldn't get very far .. any suggestions? by L.H. this is of the from 0/0 so by L.H again I hope this helps
Last edited by TheEmptySet; April 27th 2008 at 03:53 PM. Reason: left off a square
Originally Posted by TheEmptySet by L.H. this is of the from 0/0 so by L.H again I hope this helps yes it does .. thanks a lot however .. when you first differentiated tanx-x ------ x^2 isn't the derivative of tanx = sec^2x and not sec x which would lead up to having the 2nd derivative = 2sec^2xtanx ?
Originally Posted by go.leafs.go.89 yes it does .. thanks a lot however .. when you first differentiated tanx-x ------ x^2 isn't the derivative of tanx = sec^2x and not sec x which would lead up to having the 2nd derivative = 2sec^2xtanx ? Yes it is a typo I but the limit is still zero. I will fix my post above
thanks so much!
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