H hank Junior Member Joined Sep 13, 2006 Messages 209 Dec 3, 2006 #1 Differentiate: sinx / (x^2 + tanx) I just want to verify my answer, which is: (x^2 * cosx + cosxtanx - 2xsinx - sinxsec^2x) / (x^2 + tanx)^2 Does that look right? Thank you!
Differentiate: sinx / (x^2 + tanx) I just want to verify my answer, which is: (x^2 * cosx + cosxtanx - 2xsinx - sinxsec^2x) / (x^2 + tanx)^2 Does that look right? Thank you!
skeeter Elite Member Joined Dec 15, 2005 Messages 3,204 Dec 3, 2006 #2 looks fine ... I would have left it as \(\displaystyle \L \frac{\cos{x}(x^2 + \tan{x}) - \sin{x}(2x + \sec^2{x})}{(x^2 + \tan{x})^2}\) there's not much to gain by distributing the factors in the numerator.
looks fine ... I would have left it as \(\displaystyle \L \frac{\cos{x}(x^2 + \tan{x}) - \sin{x}(2x + \sec^2{x})}{(x^2 + \tan{x})^2}\) there's not much to gain by distributing the factors in the numerator.
H hank Junior Member Joined Sep 13, 2006 Messages 209 Dec 4, 2006 #3 Thanks tons. It just looked kind of weird to me for some reason.
