November 27th, 2010, 07:27 AM  #1 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  derivatives help
[color=#0040FF]1 ) If v is a differentiable function of x . then d/dx(1/v) = [/color] d/dx =1v^2 . [color=#0040FF]2 ) If x = sin y , then dy/dx = [/color] Cosy.y' [color=#0040FF]3 ) If y^2 = x then dy/dx = [/color] = 2y = 1 [color=#0040FF]4 ) The derivative of y = e^t sint with respect t is [/color] e^t(sint + cost ) d/dxx = zero [color=#0040FF]5 ) Find the dy/dx of y = sinu , u = x^2 [/color] Cosu.2x 
November 27th, 2010, 08:22 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: derivatives help
1.) 2.) Implicitly differentiate with respect to x: 3.) Implicitly differentiate with respect to x: 4.) You did correctly! 5.) You did it correctly, but perhaps you should substitute for u in your final answer. 
November 27th, 2010, 08:26 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: derivatives help Hello, rsoy! The first three are incorrect. (I'll let someone else comment on the others.) Quote: Quote: Quote:  

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