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March 29, 2024, 09:03:10 pm

Author Topic: tangent to a curve  (Read 1101 times)  Share 

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tangent to a curve
« on: June 28, 2008, 02:10:56 pm »
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Gosh absolute values are bad enough, but absolute values and families of functions, even worse than trig -.-

Consider the function with the rule
Find the equation of the tangent to the curve at the point where .

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Ahmad

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Re: tangent to a curve
« Reply #1 on: June 28, 2008, 02:34:24 pm »
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When .

So at the point , (It's negative since we expect to be positive or zero.)




edit: added justification
« Last Edit: June 28, 2008, 02:43:17 pm by Ahmath »
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Re: tangent to a curve
« Reply #2 on: June 28, 2008, 02:55:10 pm »
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Thanks Ahmad, I don't quite get why you chose the negative derivative though

The answer section gives several answers:

,

,

, when (dunno if this is a typo, maybe it means )

:/

Ahmad

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Re: tangent to a curve
« Reply #3 on: June 28, 2008, 03:07:43 pm »
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If we define then , but we know that therefore around the vicinity of the point .
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Re: tangent to a curve
« Reply #4 on: June 28, 2008, 03:10:38 pm »
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Thanks that cleared it up ^^