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 Calculus Calculus Math Forum

 November 28th, 2010, 03:35 AM #1 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 Questions in derivatives Hi all what is the derivative of ysin(1/y)=1-xy my answr derivative (ysin(1/y)= derivative (1-xy) y.cos(1/y).(-y^-2) + sind(1/y).y' = -xy'-y y'(-y/ycos(1/y).(-y^-2)+x) ------------ find dr/dQ cosr + cosQ=rQ my answar derivative(cosr ) + derivative( cosQ) = derivative (rQ) -sinr + cosQ = r+sinQ plese (correcrt to me and explaine whre I do mistake ) November 28th, 2010, 05:55 AM #2 Senior Member   Joined: Nov 2010 From: Staten Island, NY Posts: 152 Thanks: 0 Re: Questions in derivatives Corrections are in bold: y.cos(1/y).(-y^-2)y' + sin(1/y).y' = -xy'-y (-sinr)r' -sin Q= r+Qr' November 28th, 2010, 06:49 AM #3 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 Re: Questions in derivatives in question 1 why you put y' after cos(1/y).(-y^-2) ? November 28th, 2010, 11:31 AM #4 Senior Member   Joined: Nov 2010 From: Staten Island, NY Posts: 152 Thanks: 0 Re: Questions in derivatives If y=f(x), then when differentiating implicitly, you always follow a derivative involving y by dy/dx. This is due to the chain rule. For example, the derivative of is Tags derivatives, questions 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 jkh1919 Calculus 9 October 6th, 2012 03:21 PM r-soy Calculus 3 November 4th, 2010 02:42 PM r-soy Calculus 2 November 3rd, 2010 10:31 PM r-soy Calculus 2 November 3rd, 2010 09:25 PM

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