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December 12th, 2010, 02:43 PM  #1 
Newbie Joined: Dec 2010 Posts: 3 Thanks: 0  Calculus Help Please (Pictures) Thanks
Calculus Help Please (Pictures) Thanks I need help with these problems [attachment=3:1jrhs8oq]t1.jpg[/attachment:1jrhs8oq] [attachment=2:1jrhs8oq]t2.jpg[/attachment:1jrhs8oq] [attachment=1:1jrhs8oq]t3.jpg[/attachment:1jrhs8oq] [attachment=0:1jrhs8oq]t4.jpg[/attachment:1jrhs8oq] 
December 12th, 2010, 03:34 PM  #2 
Senior Member Joined: Nov 2010 Posts: 502 Thanks: 0  Re: Calculus Help Please (Pictures) Thanks
Sure. We can start with the first one. We know the derivative is like the slope: it indicates rate of change. So if f' is positive, the slope is positive.

December 12th, 2010, 04:07 PM  #3 
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: Calculus Help Please (Pictures) Thanks
I'll help with the second one: Use the quotient rule to find f'(x) then set f'(x) < 0 to find the interval(s) where f(x) is decreasing. 
December 12th, 2010, 07:11 PM  #4 
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: Calculus Help Please (Pictures) Thanks
Here is my recommendation: Take the problems one at a time and post your solutions here. Someone will check your work and offer advice if your solution is incorrect. When you post so many problems at once, folks are less likely to help, especially if you do not show what you have so far. And don't post the same problems in multiple threads across multiple fora, while you may think that will get you help faster, it probably has the opposite effect. What do you have for the first two problems? DLowry gave you what you need to answer the first one, and I gave you what you need for the second one. Do you understand how to answer them? Once you are clear on these, we can move to the next one. As you get the first problems clear, you may find you know how to do many of the later problems as well. 

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