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Subject: "Find f(x)"     Previous Topic | Next Topic
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junglemummy
Member since Nov-7-05
Apr-24-07, 09:17 AM (EST)
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"Find f(x)"
 
   Could someone please tell me the answer to this:
if f'(x) = x^(-1) what is f(x)?

I know it is very basic but I can't seem to work out the answer.


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alexbadmin
Charter Member
1991 posts
Apr-24-07, 09:20 AM (EST)
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1. "RE: Find f(x)"
In response to message #0
 
   >Could someone please tell me the answer to this:
>if f'(x) = x^(-1) what is f(x)?
>
>I know it is very basic but I can't seem to work out the
>answer.

It would help if you showed how you tried to do that, or what text you perhaps used. The answer is f(x) = ln(x).


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junglemummy
Member since Nov-7-05
Apr-24-07, 09:03 PM (EST)
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2. "RE: Find f(x)"
In response to message #1
 
   Thanks Alex. Someone asked me what it was. The method I used was the same as if you knew f'(x) was 2x, you know by moving the 2 that f(x) is x^2 plus c.


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alexbadmin
Charter Member
1991 posts
Apr-24-07, 09:05 PM (EST)
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3. "RE: Find f(x)"
In response to message #2
 
   >f(x) is x^2 plus c.

If so, I must apologise. Here, too, the correct answer is ln(x) plus c.


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junglemummy
Member since Nov-7-05
Apr-26-07, 08:32 AM (EST)
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4. "RE: Find f(x)"
In response to message #3
 
   Um, did I do something stupid by putting in the c?


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alexbadmin
Charter Member
1991 posts
Apr-26-07, 08:35 AM (EST)
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5. "RE: Find f(x)"
In response to message #4
 
   No, I did something stupid by not putting c right away. But since you eventually did, my not putting in c might have confused you. I just apologised and added a c.


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