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August 5th, 2013, 04:05 AM  #1 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  The Equation of a Tangent to a Curve
Can anyone please confirm if I have solved this correctly? Many thanks. Q. Show that is an increasing function for all values of . Attempt: Since , is always positive, then is positive. Therefore, the curve is increasing for all as is positive for all . 
August 5th, 2013, 04:34 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,780 Thanks: 1025 Math Focus: Elementary mathematics and beyond  Re: The Equation of a Tangent to a Curve
That is correct. What part were you unsure of?

August 5th, 2013, 05:10 AM  #3 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Re: The Equation of a Tangent to a Curve
It was the first question of it's type in the set I'm working with. There are no answers provided in the back of the text book for these questions, for some reason, so I wanted to make sure my first effort was correct before proceeding. Thanks for checking.


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