Calculus Calculus Math Forum

 March 8th, 2010, 07:17 PM #1 Newbie   Joined: Mar 2010 Posts: 2 Thanks: 0 Derivatives Hi. I'm having some problems with doing derivatives. I have some of the answers for my homework, but I am stuck on others. For example, I know how to get the derivative of this problem: y=x^(ln(x)) y=x^(ln(x)) ln(y)=ln(x^(ln(x)) ln(y)=ln(x)ln(x) implicit differentiation+product rule yields (1/y)y'=(1/x)ln(x)+(1/x)ln(x) (1/y)y'=(2/x)ln(x) y'=(2/x)yln(x) =(2yln(x))/x However, I'm having problems finding derivatives for: 1) y=log (theta^2) 2) y=sin ?(1-u^2) 3) y= z (cos^-1) z-?(1-z^2) Any help would be greatly appreciated. Thanks. March 8th, 2010, 10:56 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,747 Thanks: 2133 1)� log(theta) = 2log|theta| . . . can you differentiate log|theta|? 2)� Use the chain rule. 3) Use the chain rule and the fact that the derivative of with respect to x is -1/?(1 - x�). Tags derivatives Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post johngalt47 Calculus 2 November 23rd, 2013 11:44 AM fantom2012 Calculus 3 May 6th, 2012 07:53 PM Arley Calculus 5 April 13th, 2012 06:56 PM r-soy Calculus 2 November 27th, 2010 08:26 AM Calavan11 Calculus 2 December 11th, 2009 04:42 AM

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