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August 5th, 2013, 04:05 AM   #1
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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 .
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August 5th, 2013, 04:34 AM   #2
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Re: The Equation of a Tangent to a Curve

That is correct. What part were you unsure of?
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August 5th, 2013, 05:10 AM   #3
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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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